@incollection{AST_1999__258__309_0,
author = {Herzog, Marcel},
title = {New results on subset multiplication in groups},
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},
pages = {309-315},
zbl = {0944.20019},
mrnumber = {1701205},
language = {en},
url = {http://www.numdam.org/item/AST_1999__258__309_0}
}
Herzog, Marcel. New results on subset multiplication in groups, in Structure theory of set addition, Astérisque, no. 258 (1999), pp. 309-315. http://www.numdam.org/item/AST_1999__258__309_0/
[1] and , Sidon sets in groups and induced subgraphs of Cayley graphs, Europ. J. Combinatorics, 6, 1985, 101-114 | Article | MR 810691 | Zbl 0573.05032
[2] , and , Small squaring and cubing properties for finite groups, Bull. Austral. Math. Soc., 44, 1991, 429-450 | Article | MR 1138020 | Zbl 0728.20020
[3] and , On medium-size subgroups and bases of finite groups, J. of Combin. Theory, Series A, 57, 1991, 1-14 | Article | MR 1101744 | Zbl 0744.20028
[4] , A characterization of abelian groups, Proc. Amer. Math. Soc., 117, 1993, no. 3, 627-629. | Article | MR 1129873 | Zbl 0789.20022
[5] , On the small squaring and commutativity, Bull. London Math. Soc., 25, 1993, 330-336. | Article | MR 1222724 | Zbl 0795.20012
[6] , Combinatorial conditions forcing commutativity of an infinite group, J. of Algebra, 165, 1994, no. 2, 394-400. | Article | MR 1273282 | Zbl 0812.20014
[7] , and , Applying the classification theorem for finite simple groups to minimize pin count in uniform permutation architectures, VLSI algorithms and architectures, J.H. Reif(ed), Springer, 1989, 247-256 | MR 1017477 | Zbl 0659.20012
[8] , On two and three-element subsets of groups Aeq. Math., 22, 1981, 140-152 | Article | MR 645414 | Zbl 0489.20020
[9] , and , On a combinatorial problem in group theory, Israel J. Math., 82, 1993, no. 1-3, 329-340. | Article | MR 1239053 | Zbl 0794.20041
[10] and , On deficient products in infinite groups, Rend. Sem. Mat. Univ. Padova, 93, 1995, 1-6. | Numdam | MR 1354347 | Zbl 0839.20042
[11] and , On deficient squares groups and fully-independent subsets Bull. London Math. Soc., 27, 1995, no. 1, 65-70. | Article | MR 1331683 | Zbl 0827.20045
[12] , Thin bases for abelian groups, J. Number Theory, 36, 1990, 254-256 | Article | MR 1072469 | Zbl 0711.11007
[13] , Thin bases for finite nilpotent groups, J. Number Theory, 41, 1992, 303-313 | Article | MR 1168990 | Zbl 0758.11006
[14] , and , The organization of permutation architectures with bussed interconnections, Proc. 1987 IEEE Conf. On The Foundation Of Comp. Science, IEEE, 1987, 305-315
[15] and , Bases and decomposition numbers of finite groups, Arch. Math., 58, 1992, 417-424 | Article | MR 1156573 | Zbl 0724.11005
[16] and , On -bases and -decompositions of the finite solvable and alternating groups, J. Number Theory, 49, 1994, no. 3, 385-391 | Article | MR 1307974 | Zbl 0815.11009
[17] , and , Some commutativity criteria, Rend. Sem. Mat. Univ. Padova, 84, 1990, 135-141 | Numdam | MR 1101288 | Zbl 0725.20025
[18] , On large subgroups of finite groups, J. of Algebra, 152, 1992, 434-438 | Article | MR 1194312 | Zbl 0769.20011
[19] and , The classification of groups with the small-squaring property on -sets, Bull. Austral Math. Soc., 46, 1992, 263-269 | Article | MR 1183782 | Zbl 0780.20014
[20] , A property equivalent to commutativity for infinite groups Rend. Sem. Mat. Univ. Padova, 87, 1992, 299-301 | Numdam | MR 1183913 | Zbl 0812.20015
[21] , A problem of Paul Erdös on groups, J. Austral. Math. Soc., 21, 1976, 467-472, Selected works of B.H.Neumann and Hanna Neumann, 5, 1003-1008 | Article | MR 419283 | Zbl 0333.05110
[22] , A combinatorial problem in group theory, Private communication. | Zbl 0695.20018
[23] , Anwendung eines Satzes der additiven Zahlentheorie auf eine gruppenthe-oretishe Frage, Math. Z., 42, 1937, 538-542 | Article | JFM 63.0066.02 | MR 1545690
