Structure theory of set addition

Structure theory of set addition, Astérisque, no. 258 (1999), 33 p.

@incollection{AST_1999__258__1_0,
     author = {Freiman, Gregory A.},
     title = {Structure theory of set addition},
     booktitle = {Structure theory of set addition},
     editor = {Deshouilliers Jean-Marc and Landreau Bernard and Yudin Alexander A.},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {258},
     year = {1999},
     mrnumber = {1701187},
     zbl = {0958.11008},
     language = {en},
     url = {archive.numdam.org/item/AST_1999__258__1_0/}
}

Freiman, Gregory A. Structure theory of set addition, dans Structure theory of set addition, Astérisque, no. 258 (1999), 33 p. http://archive.numdam.org/item/AST_1999__258__1_0/

Bibliographie

[1] Alon N., Independent sets in regular graphs and sum-free subsets of finite groups, Israel J. Math. 73 (1991), 247-256. | Article | MR 1135215 | Zbl 0762.05050

[2] Alon N., Subset sums, J. Number Theory 27 (1987), 196-205. | Article | MR 909836 | Zbl 0622.10042

[3] Alon N., Freiman G. A., On sums of subsets of a set of integers, Combinatorica 8(4) (1988), 297-306. | Article | MR 981887 | Zbl 0666.10035

[4] Alon N., Kleitman D. J., Sum free subsets in "A tribute to P. Erdos", edited by A. Baker, B. Bollobas, A. Hajnal, Cambridge University Press, Cambridge, England, (1990), 13-26. | MR 1117002 | Zbl 0718.11006

[5] Babai L., Sos V., Sidon sets in groups and induced subgraphs of Cayley graphs, Europ. J. Comb. 6 (1985), 101-114. | Article | MR 810691 | Zbl 0573.05032

[6] Balas E., Zemel E., An algorithm for large zero-one knapsak problems, Operations Research 28 (1980), 1130-1154. | Article | MR 589676 | Zbl 0449.90064

[7] Bell H. E., Klein A. A., On rings with redundancy in multiplication, Arch. Math. 51 (1988), 500-504. | Article | MR 973724 | Zbl 0665.16021

[8] Berkovich Y., Non-solvable groups with large fraction of involutions, this volume. | Zbl 0945.20009

[9] Berkovich Y., Questions on set squaring in groups, this volume. | Zbl 0945.20015

[10] Berkovich Ya. G., Freiman G. A., On the connection between some numeric characteristics of a finite group and the structure of the group, (1981), manuscript.

[11] Berkovich Ya. G., Freiman G. A., Praeger C., Small squaring and cubing properties for finite groups, Bull. Australian Math. Soc. 44(3) (1991) 429-450. | Article | MR 1138020 | Zbl 0728.20020

[12] Berstein A. A., Freiman G. A., Analytical methods of discrete optimization, CEMI (1979), 89-105.

[13] Besser A., Sets of integers with large trigonometric sums, this volume. | Zbl 0958.11055

[14] Beurling A., Analyse de la loi asymptotique de la distribution des nombres premiers generalises I, Acta Math. 68 (1937), 255-291. | Article | JFM 63.0138.01 | MR 1577580 | Zbl 0017.29604

[15] Bianchi. M., Brandl. R., Mauri A. G., On the $4$ -permutational property for groups, Arch. Math. 48 (1987), 281-285. | Article | MR 884558 | Zbl 0623.20022

[16] Bilu Y., Structure of sets with small sumset, this volume, | Zbl 0946.11004

[17] Blyth R. D., Rewriting products of group elements I, J. Alg. 116 (1988), 506-521. | Article | MR 953167 | Zbl 0647.20033

[18] Blyth R. D., Rewriting products of group elements II, J. Alg. 119 (1988), 246-259. | Article | MR 971358 | Zbl 0663.20036

[19] Blyth R. D., Robinson D. J. S., Recent progress on rewritability in groups, in "Group Theory" (Proc. of the 1987 Singapore Conf.), de Gruyter, Berlin-New York (1989), 77-85. | Article | MR 981835 | Zbl 0663.20037

[20] Bogdanovic S., Ciric M., Tight semigroups, Public. de l'lnstitute Math., 50(64) (1991), 71-84. | EuDML 257878 | MR 1252160 | Zbl 0748.20032

[21] Bourgain J., On arithmetic progression in sums of sets of integers in "A tribute to P. Erdos", eds. A. Baker, B. Bollobas, A. Hajnal, Cambridge Univ. Press, Cambridge, England (1990), 105-109. | Article | MR 1117000 | Zbl 0715.11006

[22] Brailovsky L. V., Set multiplication in groups, Thesis for the degree of Ph.D., Tel Aviv University, 1992.

[23] Brailovsky L. V., On $(3 m)$ -special elements in groups, Comm. Algebra 20 (1992), 3301-3320. | Article | MR 1186709 | Zbl 0821.20012

[24] Brailovsky L. V., Structure of quasi-invariant sets, Arch. Math. (Basel) 59 (1992), 322-326. | Article | MR 1179456 | Zbl 0738.20005

[25] Brailovsky L. V., A characterization of abelian groups, Proc. Amer. Math. Soc. 117 (1993), 627-629. | Article | MR 1129873 | Zbl 0789.20022

[26] Brailovsky L. V., Freiman G. A., Groups with small cardinality of the cubes of their two-element subsets, Ann. New York Acad. Sci. 410 (1983), 75-82. | Article | MR 775516 | Zbl 0574.20021

[27] Brailovsky L. V., Freiman G. A., On the product of finite subsets in a torsion-free group, J. of Algebra 130 (1990), 462-476. | Article | MR 1051314 | Zbl 0697.20019

[28] Brailovsky L. V., Freiman G. A., On two-element subsets in group, Ann. New York Acad. Sci. 373 (1981), 183-190. | Article | MR 719039 | Zbl 0579.20017

[29] Brailovsky L. V., Freiman G. A., Herzog M., Special elements in groups, in "Group Theory" (Proc. 2nd Internat. Conf., Bressanone, Italy 1989), Suppl. Rend. Circ. Mat. Palermo, II series 23 (1990), 33-42. | MR 1068347 | Zbl 0711.20014

[30] Bredihin B. M., Free numerical semigroups with power densities, Dokl. Akad. Nauk SSSR (N.S.) 118 (1958), 855-857 [Russian]. | MR 98720 | Zbl 0081.04103

[31] Bredihin B. M., Free numerical semigroups with power densities, Mat. Sb. (N.S.) 46(88) (1958), 143-158 [Russian]. | MR 101274

[32] Bredihin B. M., Elementary solutions of inverse problems on bases of free semigroups Mat. Sb. (N.S.) 50(92) (1960), 221-232 [Russian]. | MR 142677

[33] Bredihin B. M., The remainder term in the asymptotic formula for $V_{G} (x)$ , Izv. Vyss. Učebn. Zaved. Matematika 6(19) (1960), 40-49 [Russian]. | MR 142523

[34] Brodsky S., On groups generated by a pair of elements with small third or fourth power, this volume, | Zbl 0944.20018

[35] Buzytsky P. J., Freiman G. A., Analytical methods in integer programming, Moscow, CEMI 48 (1980) [Russian]

[36] Cameron P. J., Portrait of a typical sum free set, London Math. Soc. Lecture Notes Series 123(1987), 13-42 | MR 905274 | Zbl 0677.05063

[37] Cameron P. J., Erdos P., On the number of sets of integers with various properties, in "Number Theory", Banff, Alberta 1988 conference proceedings, de Gruyter Berlin (1990), 61-79. | MR 1106651 | Zbl 0695.10048

[38] Cauchy A. L., Recherches sur les nombres, J. École Polytechn. 9 (1813), 99-116.

[39] Chaimovich M., Fast exact and approximate algorithm for $k$ -partition and scheduling independent tasks, Discrete Mathematics 114 1993, 87-103. | Article | MR 1217744 | Zbl 0776.68054

[40] Chaimovich M., Solving value-independent knapsack problem with the use of methods of additive number theory, Congressus Numerantium 72 (1990), 115-123. | MR 1041813 | Zbl 0695.90065

[41] Chaimovich M., Subset sum problem with different summands: Computations, Discrete Applied Mathematics 27 (1990), 277-282. | Article | MR 1058951 | Zbl 0709.90082

[42] Chaimovich, M., New structural approach to integer programming: a survey, this volume, | Zbl 0987.90060

[43] Chaimovich M., New algorithm for Dense Subset-Sum Problem, this volume, | Zbl 0987.90061

[44] Chaimovich M., Freiman G. A, Galil Z., Solving dense subset-sum problems by using analytic number theory, J. of Complexity, 5 (1989), 271-282. | Article | MR 1018019 | Zbl 0686.68030

[45] Chvatal V., Hard knapsak problems, Operations Research 28 (1980), 1402-1411. | Article | MR 609967 | Zbl 0447.90063

[46] Cohen G. D., Zemor G., Intersetting codes and independent families, Telecom Paris 92C003, Oct. 1992. | Zbl 0826.94027

[47] Cohen G. D., Zemor G., Subset sums and coding theory, this volume | Zbl 1044.94016

[48] Corput J. G., Kemperman J. H. B., The second pearl of the theory of numbers I, Nederl. Akad. Wetensch., Proc. 52 (1949), 696-704 | MR 33860 | Zbl 0036.02502

Corput J. G., Kemperman J. H. B., The second pearl of the theory of numbers I, or Indagationes Math. 11 (1949), 226-234. | MR 33860 | Zbl 0036.02502

[49] Curzio M., Longobardi P., Maj M., Su di un problema combinatorio in teoria dei gruppi, Atti. Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 74(8) (1983), 136-142. | EuDML 289160 | MR 739397 | Zbl 0528.20031

[50] Davenport H., On addition of residue sets, J. London Math. Soc. 10 (1935), 30-32. | Article | JFM 61.0149.02 | Zbl 0010.38905

[51] Deshouillers J-M., Freiman G. A., On an additive problem of Erdős and Straus I, Israel J. Math., 92, (1995), no. 1-3, 33-43. | Article | MR 1357744 | Zbl 0841.11005

[52] Deshouillers J-M., Freiman G. A., On an additive problem of Erdős and Straus II, this volume, | Zbl 0979.11005

[53] Deshouillers J-M., Freiman G. A., Moran W., On series of discrete random variables 1: Real trinomial distribution with fixed probabilities, this volume, | Zbl 0945.60011

[54] Deshouillers J-M., Freiman G. A., Sos V., Temkin M., On the structure of sum-free sets 2, this volume, | Zbl 0964.11006

[55] Deshouillers J-M., Freiman G. A., Yudin A., On Bounds for the Concentration Function, 1 this volume, | Zbl 0944.60028

[56] Deshouillers J-M., Freiman G. A., Yudin A., On a local limit theorem, manuscript 1992.

[57] Diamond H. G., The prime number theorem for Beurling's Generalized Numbers, J. of Number Theory 1(2) (1969), 200-207. | Article | MR 242779 | Zbl 0167.32001

[58] Diamond H. G., Asymptotic distribution of Beurling's Generalized Numbers, Illinois Journal of Mathematics 14(1) (1970), 12-28. | MR 252334 | Zbl 0186.36403

[59] Diamond H. G., A set of generalized numbers showing Beurling's theorem to be sharp, Illinois Journal of Mathematics 14(1) (1970), 29-34. | MR 252335 | Zbl 0186.36501

[60] Diamond H. G., Chebyshev estimates for Beurling generalized prime numbers, Proc. of the American Math. Soc. 39(3) (1973), 503-508. | Article | MR 314782 | Zbl 0268.10036

[61] Diamond H. G., When do Beurling's generalized numbers have a density? J. fur die reine und angewandte Math. 259 (1977), 22-39. | EuDML 151914 | MR 450222 | Zbl 0355.10038

[62] Diderrich G. T., An addition theorem for abelian groups of order $p q$ , Journal of Number Theory 7 (1975) 33-48. | Article | MR 360506 | Zbl 0295.10042

[63] Diderrich G. T., Mann H. B., Combinatorial problems in finite Abelian groups, in "A Survey of combinatorial Theory", eds. J. N. Srivastava et al., North Holland Publishing Company (1973), 95-100. | MR 354904 | Zbl 0258.20051

[64] Doeblin W., Sur les sommes d'un grand nombre des variables aleaqtoires independentes Bull. Sc. Math. 63 (1939), 23-32 and 35-64. | Zbl 0021.14602

[65] Dyson F., A theorem on the densities of sets of integers, J. London Math. Soc. 20 (1945), 8-14. | Article | MR 15074 | Zbl 0061.07408

[66] Efrat I., Small Chebyshev systems made by products J. of Approximation theory, 57(3) (1989), 259-267. | Article | MR 999860 | Zbl 0672.41025

[67] Erdős P., On an elementary proof of some asymptotic formulas in the theory of partitions, Ann. of Math. 48(3) (1942), 437-450. | Article | MR 6749 | Zbl 0061.07905

[68] Erdos P., Some problems and results on combinatorical number theory, in "Graph theory and its Applications : East and West (Jinan, 1986)", Ann. New York Acad. Sci. 576 (1989), 132-145 | MR 1110810 | Zbl 0790.11015

[69] Erdős P., Some remarks on number theory III, Math. Lapok 13 (1962), 28-38. | MR 144871 | Zbl 0123.25503

[70] Erdős P., Freiman G. A., On two additive problems, J. Number Theory, 34 (1990), 1-12. | Article | MR 1039762 | Zbl 0697.10047

[71] Erdős P., Ginzburg A., and Ziv A., Theorem in the additive number theory, Bull. Research Council Israel 10F (1961), 41-43. | MR 3618568 | Zbl 0063.00009

[72] Erdős P., Graham R. L., On a linear diophantine problem of Frobenius, Acta Arithmetica XXI (1972), 399-408. | Article | EuDML 205124 | MR 311565 | Zbl 0246.10010

[73] Erdős P., Heilbronn H., On the addition of residue classes mod $p$ , Acta Arithmetica, 9 (1964), 149-159. | EuDML 207470 | MR 166186 | Zbl 0156.04801

[74] Erdős P., Nathanson M. B., Sárkőzy. A., Sumsets containing infinite arithmetic progressions, J. Number Theory, 28 (1988), 159-166. | Article | MR 927657 | Zbl 0633.10047

[76] Erdős P., Sarkozy A., Arithmetic progressions in subset sums, Discrete Math. 102(3) (1992), 249-264. | Article | MR 1169145 | Zbl 0758.11007

[77] Esseen, C. G., On the Kolmogorov-Rogosin inequality for the concentration functions, Z. Wahrscheinlichkeitstheorie und verw. Gebiete 5 (1966), 210-216. | Article | MR 205297 | Zbl 0142.14702

[78] Folkman J., On the representation of integers as sums of distinct terms from a fixed sequence, Canad. J. Math. 18 (1966), 643-655. | Article | MR 199169 | Zbl 0151.03703

[79] Freiman G. A., An analytical method of analysis of linear Boolean equations, Ann. N.Y. Acad. Sci. 337 (1980) 97-102. | Article | MR 624284 | Zbl 0459.05013

[80] Freiman G. A., Dense sequences in the theory of partitions, Elabuz. Gos. Ped. Inst. Ucen. Zap. 3 (1958), 120-137 [Russian]. | MR 254002

[81] Freiman G. A., "Foundations of a structural theory of set addition", Elabuz. Gos. Ped. Inst., Kazan, 1966 [Russian]. | Zbl 0271.10044

[82] Freiman G. A., "Foundations of a structural theory of set addition", Translations of Mathematical Monographs 37, Amer. Math. Soc., Providence, R.I., 1973. | MR 360496 | Zbl 0271.10044

[83] Freiman G. A., Groups and the inverse problems of the additive set theory, in "Number-theoretic investigations on the Markov spectrum and the structure theory of set addition", Kalinin Gos. Univ. Moscow 1973, 175-183 [Russian]. | MR 435006 | Zbl 0321.10049

[84] Freiman G. A., Inverse problems in additive number theory, Proc. of the IV Ail-Union Math. Congr. 2 (1964), 142-146. | MR 220691 | Zbl 0178.37504

[85] Freiman G. A., Inverse problems in additive number theory, Uč. Zap. Kazan Univ. 115(14) (1955), 109-115 [Russian]. | MR 79606

[86] Freiman G. A., Inverse problems in additive theory of numbers, Izv. Acad. Nauk. SSSR Ser. Mat. 19 (1955) 275-284 [Russian]. | MR 72168 | Zbl 0065.02906

[87] Freiman G. A., The addition of finite sets I, Izv. Vyss. Učebn. Zaved. Matematika 6(13) (1959), 202-213 [Russian] | MR 126388 | Zbl 0096.25904

[88] Freiman G. A., Inverse problems of the additive theory of numbers. On the addition of sets of residues with respect to a prime modulus, Dokl. Akad. Nauk SSSR 141(3) (1961), 571-573 [Russian]; Soviet Math. Dokl. 2 (1961), 1520-1522 [English translation]. | MR 155810 | Zbl 0109.27203

[89] Freiman G. A., Inverse problems in additive number theory VI. On the addition of finite sets III. Addition of different sets, Izv. Vyss. Učebn. Zaved. Mathematika 3(28) (1962), 151-157 [Russian]. | MR 152486 | Zbl 0156.05102

[90] Freiman G. A., Inverse problems in additive number theory VII. On the addition of finite sets IV. The method of trigonometric sums, Izv. Vyss. Učebn. Zaved. Matematika 6(31) (1962), 131-134 [Russian]. | MR 144879 | Zbl 0171.00803

[91] Freiman G. A., Inverse problems in additive number theory VIII. On a conjecture of P. Erdős, Izv. Vyss. Učebn. Zaved. Matematika 3(40) (1964), 156-169 [Russian]. | MR 168528 | Zbl 0135.09902

[92] Freiman G. A., Inverse problems in additive number theory IX. The addition of finite sets V, Izv. Vyss. Učebn. Zaved. Matematika 6(43) (1964), 168-178 [Russian]. | MR 175872 | Zbl 0201.37504

[93] Freiman G. A., New analytical results in subset sum problem, Proc. of the French-Israeli Conference on Combinatorics and Algorithms, Jerusalem 1988, Discrete Math. 114 (1993), 205-217. | MR 1217753 | Zbl 0849.11015

[94] Freiman G. A., Nonclosed semigroups with cancellations, Ann. N.Y. Acad. Sci. 410 (1983), 91-98. | Article | MR 775518 | Zbl 0574.20022

[95] Freiman G. A. (Editor), "Number-Theoretic Studies in Markov Spectrum and in the structural theory of set addition", Kalinin Gos. Univ. Moscow 1973 [Russian]. | MR 435003 | Zbl 0305.00003

[96] Freiman G. A., On extremal additive problems of Paul Erdos, in "The Proceedings of the Second International Conference on Combinatorial Mathematics and Computing, Canberra, 1987", ARS Combinatoria 26B (1988), 93-114. | MR 990542 | Zbl 0666.10009

[97] Freiman G. A., On solvability of a system of two boolean linear equations, Number theory (New York, 1991-1995), 135-150, Springer, New York, 1996. | MR 1420205 | Zbl 0860.11013

[98] Freiman G. A., On the addition of finite sets, Dokl. Akad. Nauk SSSR 158 (1964), 1038-1041 [Russian]. | MR 168529 | Zbl 0163.29501

[99] Freiman G. A., Pitman J., Partitions into distinct large parts, J. Austral. Math. Soc. Ser. A 57(3) (1994), 386-416. | Article | MR 1297011 | Zbl 0824.11064

[100] Freiman G. A., On the measure of large trigonometric sums, Ann. N.Y. Acad. Sci. 452 (1985), 363-371. | Article | MR 848955 | Zbl 0643.10031

[101] Freiman G. A., On the structure and the number of sum-free sets, Asterisque 209 (1992), 195-203. | Numdam | MR 1211012 | Zbl 0796.11006

[102] Freiman G. A., On two- and three-element subsets of groups, Aequationes Math. 22 (1981), 140-152. | Article | EuDML 136869 | MR 645414 | Zbl 0489.20020

[103] Freiman G. A., Subset-sum problem with different summands, Congressus Numeran-tium 70 (1990), 207-215. | MR 1041604 | Zbl 0701.90068

[104] Freiman G. A., Sumsets and powers of $2$ , Coll. Math. Soc. J. Bolyai 60 [Budapest] (1991), 279-286. | MR 1218196 | Zbl 0796.11005

[105] Freiman G. A., What is the structure of $K$ if $K + K$ is small?, in "Lecture Notes in Mathematics 1240", Springer-Verlag, New York 1987, 109-134. | MR 894508 | Zbl 0625.10045

[106] Freiman G. A., Low L., Pitman J., Sumsets with distinct summands and the conjecture of Erdös'-Heilbronn on sums of residues, this volume, | Zbl 0948.11008

[107] Freiman G. A., Heppes A., Uhrin B., A lower estimation for the cardinality of finite difference sets, Problems of Computer Science 202 (1987), 63-73. | MR 934763

[108] Freiman G. A., Heppes A., Uhrin B., A lower estimation for the cardinality of finite difference sets in $R^{n}$ , in "Proc. Conf. Number Theory, Budapest 1987", Coll. Math. Soc. J. Bolyai 51, North-Holland and Bolyai Taursulat, Budapest 1989, 125-139 | MR 1058212 | Zbl 0707.11011

[109] Freiman G. A., Halberstam H., Ruzsa I. Z., Integer sum sets containing long arithmetic progressions, J. London Math. Soc. 46(2) (1992), 193-201. | Article | MR 1182477 | Zbl 0768.11005

[110] Freiman G. A, Yudin A. A., The general principles of additive number theory, in "Number theory", Kalinin Gos. Univ. Moscow 1973, 135-147 [Russian]. | MR 435004 | Zbl 0321.10046

[111] Freiman G. A, Yudin A. A., Moskvin D. A., Inverse problems of additive number theory and local limit theorems for lattice random variables, in "Number Theory", Kalinin Gos. Univ. Moscow 1973, 148-162 [Russian]. | MR 435005 | Zbl 0323.60022

[112] Freiman G. A, Yudin A. A., Moskvin D. A., Structural theory of set addition and local limit theorems for independent lattice random variables, Teor. Verojatnost. i Primen. 19 (1974), 52-62 [Russian]. | MR 334309 | Zbl 0326.60022

[113] Freiman G. A., Pigarev P. A., The relation between the invariants $R$ and $T$ , in "Number Theory", Kalinin Gos. Univ. Moscow 1973, 172-174 [Russian]. | MR 434995 | Zbl 0321.10048

[114] Freiman G., Structure theory of set addition, this volume, | Zbl 0958.11008

[115] Freiman, G. A., Robinson D., Shein B., Structure of $R (3, 4)$ -groups, manuscript 1995.

[116] Freiman G. A., Shein B. M., Group and semigroup theoretic considerations inspired by inverse problems of additive number theory, in "Lecture Notes in Mathematics 1320", Springer-Verlag, New York 1988, 121-140. | MR 957761 | Zbl 0668.20023

[117] Freiman G. A., Shein B. M., Interconnections between the structure theory of set addition and rewritability in groups, Proc. of Amer. Math. Soc. 113(4) (1991), 899-910. | MR 1072338 | Zbl 0745.20034

[118] Freiman G. A., Shein B. M., Structure of $R (3, 3)$ -groups, Israel Journal of Mathematics, 77 (1992), 17-31. | Article | MR 1194783 | Zbl 0789.20021

[119] Galil Z., Margalit O., An almost linear-time algorithm for the dense subset-sum problem, SIAM J. Comput. 20, (1991), no. 6, 1157-1189. | Article | MR 1135754 | Zbl 0736.68041

[120] Granovsky B. L., Passov E., Chebyshev systems of minimal degree, SIAM J. Math. Anal. 15 (1984), 166-169. | Article | MR 728692 | Zbl 0533.41030

[121] Granovsky B. L., Moment spaces of minimal dimension, Journal of Approximation Theory, 49(4), (1987), 390-397. | Article | MR 881507 | Zbl 0634.41023

[122] Gustafson P. W. H., What is the probability that two group elements commute?, Amer. Math. Monthly 80 (1973), 1031-1034. | Article | MR 327901 | Zbl 0276.60013

[123] Hadwiger H., Minkowskische Addition und Subtraktion beliebiger Punktmengen und die Theoreme von Erhard Schmidt, Math. Z. 53 (1950), 210-218. | Article | EuDML 169182 | MR 40027 | Zbl 0040.38301

[124] Hamidoune Y. O., Sur les atomes d'un graphe orienté, C.R. Acad. Sci. Paris A 284 (1977), 1253-1256. | MR 444511 | Zbl 0352.05035

[125] Hamidoune Y. O., Quelques problèmes de connexité dans les graphes orienté, J. Comb. Theory B 30 (1981), 1-10. | Article | MR 609588 | Zbl 0475.05039

[126] Hamidoune Y. O., An application of connectivity theory in graphes to factorizations of elements in groups, Europ. J. Comb. 2 (1981), 349-355. | Article | MR 638410 | Zbl 0473.05032

[127] Hamidoune Y. O., On the connectivity of Cayley digraphs, Europ. J. Comb. 5 (1984), 309-312. | Article | MR 782052 | Zbl 0561.05028

[128] Hamidoune Y. O., On a subgroup contained in words with a bounded length, Discrete Math. 103 (1992), 171-176. | Article | MR 1171314 | Zbl 0773.20004

[129] Hamidoune Y. O., Subsets with small sums in abelian groups, I., European J. Combin., 18, (1997), no. 5, 541-556. | Article | MR 1455186 | Zbl 0883.05065

[130] Hamidoune Y. O., Rödseth Ö. J., On bases in $σ$ -finite groups, Math. Scand. 78 (1996), no. 2, 246-254. | Article | EuDML 167387 | MR 1414651 | Zbl 0877.11007

[131] Hamidoune Y. O., Llàdo A., Serra O., Vosperian and superconnected abelian Cayley digraphs, Graphs and Combinatorics 7 (1991), 143-152. | Article | MR 1115133 | Zbl 0736.05047

[132] Hamidoune Y. O., On the representation of some integers as a subset sum, Bull. London Math. Soc, 26, (1994), 557-563. | Article | MR 1315606 | Zbl 0838.11019

[133] Hamidoune Y. O., On weighted sums in abelian groups, Discrete Math., 162, (1996), 127-132. | Article | MR 1425783 | Zbl 0872.11016

[134] Hamidoune Y. O., On inverse additive problems, Report Institut Blaise Pascal, EC9501 (1995).

[135] Hamidoune Y. O., The representation of some integers as a subset sum, EC 94/03, preprint March 1994. | MR 1315606 | Zbl 0838.11019

[136] Hamidoune Y. O., Subsets with a small product in groups, this volume.

[137] Hamidoune Y. O., An Isoperimetric method in Additive Theory, J. Algebra, 179, (1996), 622-630. | Article | MR 1367866 | Zbl 0842.20029

[138] Heath-Brown D. R., Integers sets containing no arithmetic progressions, J. London Math. Soc. 35(2) (1987), 385-394. | Article | MR 889362 | Zbl 0589.10062

[139] Henstock R., Macbeath A. M., On the measure of sum-sets I, Proc. London Math. Soc. 3(3) (1953), 182-194. | MR 56669 | Zbl 0052.18302

[140] Herzog M., New results on subset multiplication in groups, this volume. | Zbl 0944.20019

[141] Herzog M., Arad Z., Products of conjugacy classes in groups, Lecture notes in Mathematics 1112, Springer-Verlag, 1985. | MR 783067 | Zbl 0561.20004

[142] Herzog M., Longobardi P., Maj M., On a combinatorial problem in group theory, Israel J. Math., 82, (1993), no. 1-3, 329-340. | Article | MR 1239053 | Zbl 0794.20041

[143] Jeroslow R. G., Trivial integer programs unsolvable by branch and bound, Mathematical Programming bf 6 (1974), 105-109. | Article | MR 345630 | Zbl 0283.90035

[144] Joseph K. S., Commutativity in non-Abelian groups, Ph.D. Thesis, University of California, Los-Angeles 1969. | MR 2618547

[145] Kaplansky I., Groups with representations of bounded degree, Canad. J. Math. 1 (1949), 105-112. | Article | MR 28317 | Zbl 0037.01603

[146] Kemperman J. H. B., On complexes in a semigroup, Indagat. Math. 18 (1956), 247-254. | Article | MR 79005 | Zbl 0072.25605

[147] Kemperman J. H. B., On product sets in locally compact groups, Fund. Math. 56 (1964), 51-68. | Article | EuDML 213825 | MR 202913 | Zbl 0125.28901

[148] Kemperman J. H. B., On small sumsets in an abelian group, Acta Math. 103 (1960), 63-88. | Article | MR 110747 | Zbl 0108.25704

[149] Kemperman J. H. B., Scherk P., On sums of sets of integers, Can. J. Math. 6 (1954), 238-252. | Article | MR 60531 | Zbl 0058.01901

[150] Kesten M., A sharper form of the Doeblin-Levy-Kolmogorov-Rogosin inequality for concentration functions, Math. Scand. 25 (1969), 133-144. | Article | EuDML 166110 | MR 258095 | Zbl 0218.60035

[151] Khintchine A., in "Three pearls of number theory", Graylock, Rochester, New York, 1952. | MR 46372 | Zbl 0048.27202

[152] Kiefer J., Wolfowitz J., Optimum designs in regression problems, Ann. Math. Stat. 30 (1959), 271-294. | Article | MR 104324 | Zbl 0090.11404

[153] Kneser M., Abschatzung der asymptotischen Dichte von Summenmengen, Math. Zeit. 58 (1953), 459-484. | Article | EuDML 169366 | MR 56632 | Zbl 0051.28104

[154] Kneser M., Ein Satz uber Abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen, Math. Z. 61 (1955), 429-434. | Article | EuDML 169473 | MR 68536 | Zbl 0064.04305

[155] Kneser M., Summenmengen in lokalkompakten abelschen Gruppen, Math. Z. 66 (1956), 88-110. | Article | EuDML 169620 | MR 81438 | Zbl 0073.01702

[156] Kolmogorov A. N., Sur les propriétés des fonctions de concentrations de M.P. Lévy, Ann. Inst. H. Poincaré Sect. B. 16 (1) (1958), 27-34. | EuDML 79066 | Numdam | MR 101545 | Zbl 0105.11804

[157] Lev V. F., P. Smeliansky, On addition of two distinct sets of integers, Acta Arithmetica, LXX.l, (1995), 85-91. | Article | EuDML 206738 | MR 1318763 | Zbl 0817.11005

[158] Lev V. F., On the structure of sets of integers with small doubling property $(|A + A| < \frac{10}{3} |A| - 5)$ , unpublished manuscript.

[159] Lev V. F., On the extremal aspect of Frobenius problem, J. Comb. Th. (Series A), 73 (1), (1996), 111-119. | Article | MR 1367610 | Zbl 0853.11020

[160] Lev V. F., Representing powers of $2$ by a sum of four integers, Combinatorica, 16 (3) (1996), 413-416. | Article | MR 1417350 | Zbl 0862.11008

[161] Lev V. F., Structure theorem for multiple addition and the Frobenius problem, Journal of Number Theory, 58 (1), (1996), 79-88. | Article | MR 1387726 | Zbl 0853.11017

[162] Lev V. F., On small subsets in abelian groups, this volume.

[163] Lev V., The structure of multisets with small number of subset sums, this volume.

[164] Levitin L. B., Hartmann C. R. P., A new approach to the general minimum distance decoding problem: the zero neighbors algorithm, IEEE Trans. on Inform. Theory 31(3) (1985), 378-384. | Article | MR 794435 | Zbl 0586.94022

[165] Levy M. P., Theorie d'addition des variables aléatoires. | JFM 63.0490.04 | Zbl 0056.35903

[166] Liebeck H., Machale D., Groups with automorphisms inverting most elements, Math. Z. 124 (1972), 51-63. | Article | EuDML 171655 | MR 291273 | Zbl 0213.30505

[167] Lipkin E., On representation of $r - t h$ powers by subset-sums, Acta Arithmetica LII (1989), 353-366. | Article | EuDML 206208 | MR 1030087 | Zbl 0691.10042

[168] Lipkin E., On subset sums of $r$ -sets, Discrete Mathematics 114 (1993), 1-3 and 367-377. | Article | MR 1217764 | Zbl 0802.11005

[169] Lipkin E., Subset sums of sets of residues, this volume, | Numdam

[170] Longobardi P., Maj M., The classification of groups with the small squaring property on 3-sets, Bull. Austral. Math. Soc. 46 (1992), 263-269. | Article | MR 1183782 | Zbl 0780.20014

[171] Longobardi P., Maj M., On groups in which every product of four elements can be reordered, Arch. Math. 49 (1987), 273-276. | Article | MR 913155 | Zbl 0607.20017

[172] Longobardi P., Maj M., On the derived length of groups with some permutational properties, manuscript.

[173] Longobardi P., Maj M., Stonehewer S. E., Classification of groups in which every product of four elements can be reordered, Rend. Sem. Mat. Univ. Padova, 93, (1995), 7-26. | EuDML 108361 | Numdam | Zbl 0838.20038

[174] Macbeath A. M., On the measure of product sets in a topological group, J. London Math. Soc. 35 (1960), 403-407. | Article | MR 126501 | Zbl 0116.26302

[175] Macbeath A. M., On the measure of sum sets, II, The sum theorem for the torus, Proc. Cambridge Philos. Soc. 49 (1953), 40-43. | Article | MR 56670 | Zbl 0052.26301

[176] Macbeath A. M., On the measure of sum sets, III, The continuous $α + β$ theorem, Proc. Edinburg Math. Soc. 12(2) (1960/61), 209-211 | MR 138716 | Zbl 0112.28501

Macbeath A. M., On the measure of sum sets, III, The continuous $α + β$ theorem, Proc. Edinburg Math. Soc. correction ibid. 14 (1964/65), 165-166. | Article | MR 173741 | Zbl 0129.03702

[177] Maming W. A., Groups in which a large number of operators may correspond to their inverses, Trans. Amer. Math. Soc. 7 (1906), 233-240. | Article | JFM 37.0174.01 | MR 1500746

[178] Mann H. B., A proof of the fundamental theorem on the density of sums of sets of positive integers, Ann. Math. 43 (2) (1942), 523-527. | Article | MR 6748 | Zbl 0061.07406

[179] Mann H. B., Additive group theory - a progress report, Bull. Amer. Math. Soc. 79(6) (1973), 1069-1075. | Article | MR 325811 | Zbl 0278.20031

[180] Mann H. B., Two addition theorems, J. Comb. Th. 3 (1967), 233-235. | Article | MR 218262 | Zbl 0189.29701

[181] Mann H. B., Olson J., Sums of sets in the elementary abelian group of type $(p, p)$ , J. Comb. Th. 2 (1967), 275-284. | Article | MR 214657 | Zbl 0168.01501

[182] Margalit O., Efficent elementary methods for the dense subset-sum problem, M. Sc. Thesis, Computer Science Department, Tel-Aviv University, 1988.

[183] Martello S., Toth P., A mixture of dynamic programming and branch-and-bound for the subset-sum problem, Management Science 30 (1984), 765-771. | Article | MR 878881 | Zbl 0555.90073

[184] Martello S., Toth P., The $0 - 1$ knapsack problem, in "Combinatorial Optimization", ed : N. Christofides, A. Mingozzi, P. Toth, C. Sandi, Wiley, 1979, 237-279. | MR 557004 | Zbl 0409.90063

[185] Mccrudden M., On product sets in a unimodular group, Proc. Cambridge Philos. Soc. 64 (1968), 1001-1007. | Article | MR 229749 | Zbl 0167.30003

[186] Mieses R., Giornale dell'Instituto degli Attuari 5 (1934), 483-495.

[187] Miller G. A., Groups which admit five-eight automorphisms, Proc. Nat. Acad. Sci. 17 (1931), 39-43. | Article | Zbl 0001.01001

[188] Miller G. A., Groups contaning the largest possible number of operators of order two, Amer. Math. Monthly 12 (1905), 149-151. | MR 1516409

[189] Miller G. A., Non abelian groups admitting more than half inverse corespondences, Proc. Nat. Acad. Sci. 16 (1930), 168-172. | Article | JFM 56.0132.03

[190] Milnor J., A note on curvature and the fundamental group, J. Diff. Geom. 2 (1968), 1-7. | Article | MR 232311 | Zbl 0162.25401

[191] Milnor J., Growth of finitely generated solvable groups, J. Diff. Geom. 2 (1968), 447-449. | Article | MR 244899 | Zbl 0176.29803

[192] Miroshnikov A. L., Rogosin B. A., Inequalities for the concentration function, Theory of probability and its applications, 30 (1) (1983), 38-49.

[193] Mitalauscas A., Statulevicius V., On local limit Theorems I, Litovski Math. Sbor. Vol. 14 num. 4, 129-144, 1974. | MR 428391 | Zbl 0348.60027

[194] Mitalauscas A., Statulevicius V., On local limit Theorems II, Litovski Math. Sbor. 17(4) (1977), 169-179. | MR 501282 | Zbl 0383.60026

[195] Moran G., On product equality preserving mappings in groups, J. Algebra, 182, (1996), no. 3, 653-663. | Article | MR 1398115 | Zbl 0860.20021

[196] Moskvin D. A., A local limit theorem for large deviations in the case of differently distributed lattice summands, Theory of Probability and its Applications 17(4) (1972), 678-684. | Article | Zbl 0325.60028

[197] Moskvin D. A., Freiman G. A., Yudin A. A., Inverse problems of additive number theory and local limit theorems for lattice random variables, in "Number Theory", Kalinin Gos. Univ. Moscow 1973, 148-162 [Russian]. | MR 435005 | Zbl 0323.60022

[198] Moskvin D. A., Postnikova L. O., Yudin A. A., On an arithmetic method of obtaining local limit theorems for lattice random variables, Prob. Theor. and its applications 15(1) (1970), 86-96. | Article | MR 301787 | Zbl 0229.60020

[199] Nathanson M. B., Sumsets of measurable sets, Proc. Amer. Math. Soc. 78 (1) (1980), 59-63. | Article | MR 548085 | Zbl 0436.10026

[200] Nathanson M. B., "Additive Number Theory. Inverse Problems and the Geometry of Sumsets.", Graduate Texts in Mathematics, 165, Springer Verlag, New-York, (1996), xiv+293 pp. | Article | MR 1477155 | Zbl 0859.11003

[201] Nathanson M. B. and Sárkőzy A., Sumsets containing long arithmetic progressions and powers of 2, Acta Arithmetica 46 (1989), 147-154. | Article | EuDML 206248 | MR 1024423 | Zbl 0693.10040

[202] Nathanson M., Tenenbaum G., Inverse theorems and the number of sums and products, this volume, | Zbl 0947.11008

[203] Nemhauzer G., Wolsey L., "Integer and combinatorial optimization", John Wiley k, Sons, 1988. | Article | MR 948455

[204] Neuman B. H., On a problem of Paul Erdős in groups, J. Austr. Math. Soc. (Ser. A) 21 (1976), 467-472. | Article | MR 419283 | Zbl 0333.05110

[205] Nicolas J-L., Stratified Sets, this volume. | MR 1701199 | Zbl 0978.11055

[206] Olson J., An addition theorem modulo $p$ , J. Comb. Th. 5 (1968), 45-52. | Article | MR 227129 | Zbl 0174.05202

[207] Olson J., An Addition Theorem for the Elementary Abelian Group, J. Comb. Th. 5 (1968), 53-58. | Article | MR 227130 | Zbl 0174.05201

[208] Olson D J., Sums of sets of group elements, Acta Arithmetica, 28 (1975), 147-156. | Article | EuDML 205377 | MR 382215 | Zbl 0318.10035

[209] Olson J., An addition theorem for finite abelian groups, J. Number Theory 9 (1977), 63-70. | Article | MR 437657 | Zbl 0351.20032

[210] Olson J., On a combinatorial problem of Erdős, Ginzberg and Ziv, J. Number theory 8 (1976), 52-57. | Article | MR 399032 | Zbl 0333.05009

[211] Olson J., A combinatorial problem on finite abelian groups I and II, J. Number Theory, 1 (1969), 8-11 and 195-199. | Article | MR 240200 | Zbl 0167.28004

[212] Olson J., On the sum of two sets in a group, J. Number Theory, 18 (1984), 110-120. | Article | MR 734442 | Zbl 0524.10043

[213] Passow E., Alternating parity of Chebyshev Systems, Journal of Approximation Theory 9 (1973), 295-298. | Article | MR 355433 | Zbl 0273.41024

[214] Postnikov A. G., Introduction to analytic number theory, Izdat. "Nauka", Moscow, 1971. 416 pp. [Russian]. | MR 434932 | Zbl 0231.10001

[215] Postnikov A. G., Additive problems with growing number of summands, IAN, Math. Ser., 20 (1956), 751-764. | MR 86838 | Zbl 0075.03401

[216] Postnikova L. P., Yudin A. A., On the concentration function, Theory of Probability and its Applications 22(2) (1977), 371-375. | MR 440661 | Zbl 0379.60019

[217] Postnikova L. P., Yudin A. A., An analytic method for estimates of the concentration function, Proceedings of the Steklov Institute of Mathematics 1 (1980). | Zbl 0431.60052

[218] Postnikova L. P., Yudin A. A., A sharper form of an inequality for the concentration function, Theory Prob. Appl. 23 (1978), 359-362. | Article | MR 517929 | Zbl 0421.60048

[219] Pyber L., The number of pairwise non-commuting elements and the index of the center in a finite group, J. London. Math. Soc. 35(2) (1987), 287-295. | Article | Zbl 0588.20016

[220] Redei L., Das 'Schiefe Produkt' in der Gruppentheorie, Comment. Math. Helvet. 20 (1947), 225-264. | Article | EuDML 138921 | MR 21933 | Zbl 0035.01503

[221] Rhemtulla A. H., Street A. P., Maximal sum free sets in finite abelian groups, Bull. Austral. Math. Soc. 2 (1970), 289-297. | Article | MR 263920 | Zbl 0191.02203

[222] Rogosin B. A., An estimate for concentration functions, Theory of Probability and its Applications 6 (1961), 94-97. | Article | Zbl 0106.34002

[223] Rohrbach H., Anwendung eines Satzes der additiven Zahlentheorie auf eine Grupenteoretische Frage, Math. Z. 42 (1937), 538-542. | Article | EuDML 168732 | JFM 63.0066.02 | MR 1545690

[224] Roth K. F., On certain sets of integers I, J. London Math. Soc. 28 (1953), 104-109. | Article | MR 51853 | Zbl 0050.04002

[225] Roth K. F., On certain sets of integers II, J. London Math. Soc. 29 (1954), 20-26. | Article | MR 57894 | Zbl 0055.27201

[226] Rusin D., What is the probability that two elements of a finite group commute?, Pac. J. Math. 2(1) (1979), 237-247. | Article | MR 549847 | Zbl 0398.20089

[227] Ruzsa I. Z., The density of the set of sums, Acta Arith.,58, (1991), 169-172. | Article | EuDML 206345 | MR 1121078 | Zbl 0738.11012

[228] Ruzsa I. Z., Sums of finite sets, Number theory (New York seminar, 1991-1995), eds. D. V. Chudnovsky, G. V. Chudnovsky, M. B. Nathanson, Springer, New York, (1996), 281-293. | Article | MR 1420195 | Zbl 0869.11011

[229] Ruzsa I. Z., On the cardinality of $A + A$ and $A - A$ , in "Combinatorics", Eds. A. Hajnal, V.T. Sos, Coll. Math. Soc. J. Bolyai 18, North Holland 1978, 933-938. | MR 519317 | Zbl 0383.04003

[230] Ruzsa I. Z., On the number of sums and differences, Acta Math. Hung. 59 (1992), 439-447. | Article | MR 1171750 | Zbl 0773.11010

[231] Ruzsa I. Z., Sets of sums and differences, in "Proc. de Seminare de Theorie des nombres de Paris (1982-1983)", Birkhauser, Boston 1984, 267-273. | MR 791599 | Zbl 0548.10038

[232] Ruzsa I. Z., Sums of sets in several dimensions, Combinatorica, 14, (1994), 485-490. | Article | MR 1312875 | Zbl 0815.11012

[233] Ruzsa I. Z., Generalized arithmetical progressions and sumsets, Acta Math. Hungar., 65, (1994), 379-388. | Article | MR 1281447 | Zbl 0816.11008

[234] Ruzsa I. Z., Arithmetic progressions in sumsets, Acta Arith. 60(2) (1991), 191-202. | Article | EuDML 206433 | MR 1139055 | Zbl 0728.11009

[235] Ruzsa I. Z., An application of graph theory to additive number theory, Scientia (Series A) Math. Sciences 3 (1989), 97-109. | MR 2314377 | Zbl 0743.05052

[236] Ruzsa I. Z., Sets of sums and commutative graphs, Proc. of the workshop in combinatorics, Bielefeld 1991, Studia Sei. Math. Hungar., 30, (1995), 127-148. | MR 1341572 | Zbl 0874.11014

[237] Ruzsa I. Z., Arithmetic progressions and the number of sums, Period. Math. Hung. 25 (1) (3) (1992), 105-111. | Article | MR 1200845 | Zbl 0761.11005

[238] Ruzsa I. Z., An analog of Freiman's theorem in groups, this volume. | Zbl 0946.11007

[239] Sárkőzy A., Finite addition theorems I, J. Number Theory 32 (1) (1989), 114-130 | Article | MR 1002119 | Zbl 0674.10042

[240] Sárkőzy A., Finite addition theorems II, J. Number Theory, 48, (1994), no. 2, 197-218. | Article | MR 1285539 | Zbl 0808.11011

[241] Sárkőzy A., Finite addition theorems III, in "Groupe de Travail en Theorie Analytique et Elementaire des Nombres 1989-1990", Publ. Math. Orsay 1992, 105-122. | MR 1192813 | Zbl 0780.11008

[242] Schnirelman L. G., Uber additive Eigenschaften von Zahlen, Math. Ann. 107 (1933), 649-690. | Article | EuDML 159613 | JFM 59.0198.01 | MR 1512821 | Zbl 0006.10402

[243] Semple J. F., Shalev A., Combinatorial conditions in residually finite groups I, J. Algebra 157 (1) (1993), 43-50. | Article | MR 1219657 | Zbl 0814.20022

[244] Shalev A., Combinatorial conditions in residually finite groups II, J. Algebra 157 (1) (1993), 51-62. | Article | MR 1219658 | Zbl 0814.20023

[245] Siegel C. L., Einheiten quadratischer Formen. | Article | JFM 66.0125.03 | Zbl 0023.00701

[246] Dias Da Silva J. A. and Hamidoune Y. O., Cyclic spaces for Grassman derivatives and additive theory, Bull. London Math. Soc. 26 (1994), 140-146. | Article | MR 1272299 | Zbl 0819.11007

[247] Straus E. G., On a problem in combinatorical number theory, J. Math. Sci. 1 (1966), 77-80. | MR 201411 | Zbl 0149.28503

[248] Szemeredi E., On sets of integers containing no $k$ elemenents in arithmetic progression, Acta Arithmetica 27 (1975), 199-245. | Article | EuDML 205339 | MR 369312 | Zbl 0303.10056

[249] Szemeredi E., On a conjecture of Erdos and Heilbronn, Acta Arithmetica 17 (1970), 227-229. | Article | EuDML 204952 | MR 268159 | Zbl 0222.10055

[250] Szemeredi E., Integer sets containing no arithmetic progression, Math. Acad. Sci. Hungar. 56 (1990), 155-158. | Article | MR 1100788 | Zbl 0721.11007

[251] Szoni T., Wettl F., On complexes in a finite abelian group. Proc. of the Japan Academy 64(7) (Series A) 7 (1988), 245-246. | Article | MR 974084 | Zbl 0693.20022

[252] Tashbaev V. H., An inverse additive problem, Math. Sb. 52 (94) (1960), 947-952 [Russian]. | MR 132053 | Zbl 0109.27204

[253] Uhrin B., On a generalization of the Minkowsky convex body theorem, J. of Number Theory 13 (1981), 192-209. | Article | MR 612682 | Zbl 0452.10033

[254] Uhrin B., Some estimations useful in the geometry of numbers, Period. Math. Hungar. 11 (1980), 95-103. | Article | MR 573522 | Zbl 0412.10023

[255] Uhrin B., Some remarks about the lattice points in difference sets, in "Proc of A. Haar Memorial Conf. (Budapest, 1985)", Ed. J. Szabados, Coll. Math. Soc. J. Bolyai 49, North-Holland, Amsterdam-New York, 1986, 929-937. | MR 899586 | Zbl 0615.22003

[256] Usharov N. G., Upper estimates of maximum probability for sums of independent random vectors, Theory of probability and its applications 30(1) (1983), 38-49 [Russian]. | MR 779429 | Zbl 0583.60041

[257] Vosper A. G., The critical pairs of subsets of a group of prime order, J. London Math. Soc. 31 (1956), 200-205 | Article | MR 77555 | Zbl 0072.03402

Vosper A. G., The critical pairs of subsets of a group of prime order see addendum in J. London Math. Soc., 31 (1956), 280-286. | Article | MR 78368 | Zbl 0072.03402

[258] Wall C. T. C., On groups consisting mostly of involutions, Proc. Cambridge Philos. Soc. 67(2) (1970), 251-262. | Article | MR 249503 | Zbl 0197.30201

[259] Wolf J., Growth of finitely generated solvable groups and curvature of Riemannian manifolds, J. Diff. Geom. 2 (1968), 421-446. | Article | MR 248688 | Zbl 0207.51803

[260] Yudin A. A., The measure of the large values of the modulus of a trigonometric sum, in "Number theoretic studies in the Markov spectrum and in the structural theory of set addition", Kalinin Gos. Univ., Moscow 1973, 163-171 [Russian]. | MR 434979 | Zbl 0321.10047

[261] Hennecart F., Robert G., Yudin A., On the number of sums and differences, this volume, | MR 1701195

[262] Zemor G., Subset sums in binary spaces, Europ. J. Combin., (1992) 13, 221-230. | Article | MR 1164767 | Zbl 0772.11004

[263] Zemor G., A generalisation to non-commutative groups of a theorem of Mann, Discrete Math., 126, (1994), no. 1-3, 365-372. | Article | MR 1264502 | Zbl 0791.05055

[264] Zemor G., An extremal problem related to the covering radius of binary codes, in "First French-Soviet Workshop on algebraic coding", Lecture Notes in Computer Science 573, Springer-Verlag 1992, 42-51. | Article | MR 1228456 | Zbl 0859.94032

[265] Zemor G., Cohen G. D., Error-correcting $W O M$ -codes, IEEE Trans. on Information Theory 37 (3) (1991), 730-734. | Article | MR 1102781 | Zbl 0732.94013

[266] Zemor G., Cohen G., Applications of coding theory to interconnection networks, Discrete Applied Math. 37/38 (1992), 553-562. | Article | MR 1176878 | Zbl 0757.68018

[267] Zigel G., Upper estimations for the concentration function in Hilbert space, Theory of Probability and its applications 26 (2) (1982), 328-343. | Article | MR 616624 | Zbl 0501.60021

[268] Straus E. G., Non-averaging sets, in "Combinatorics: conference at Univ. California, Los Angeles, 1968", Proc. Sympos. Pure Math. XIX, Amer. Math. Soc., Providence, R.I. 1971, 215-222. | Article | MR 316255 | Zbl 0278.05002