On groups generated by a pair of elements with small third or fourth power
Structure theory of set addition, Astérisque, no. 258 (1999), 25 p.
@incollection{AST_1999__258__255_0,
author = {Brodsky, Sergei},
title = {On groups generated by a pair of elements with small third or fourth power},
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},
zbl = {0944.20018},
mrnumber = {1701203},
language = {en},
url = {http://archive.numdam.org/item/AST_1999__258__255_0/}
}
Brodsky, Sergei. On groups generated by a pair of elements with small third or fourth power, dans Structure theory of set addition, Astérisque, no. 258 (1999), 25 p. http://archive.numdam.org/item/AST_1999__258__255_0/

[1] Berkovich J. G, Freiman G. A and Praeger C. E., Small squaring and cubing properties of finite groups, Bull. Austral. Math. Soc., 44, 1991, 429-450. | Article | MR 1138020 | Zbl 0728.20020

[2] Brailovsky L. V., On $\left(3,m\right)$-special elements in groups, Manuscript. | Article | Zbl 0821.20012

[3] Brailovsky L. V. and Freiman G. A., On two-element subsets in groups, Ann. N.Y. Acad. Sci., 373, 1981, 183-190. | Article | MR 719039 | Zbl 0579.20017

[4] Brailovsky L. V. and Freiman G. A., Groups with small cardinality of the cubes of their two-element subsets, Ann. N.Y. Acad. Sci., 410, 1983, 75-82. | Article | MR 775516 | Zbl 0574.20021

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

[6] Higman G., Neumann B. H., and Neumann H., Embedding theorems for groups, J. London Math. Soc., 29, 1949, 247-254. | Article | MR 32641 | Zbl 0034.30101

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

[8] Lyndon C. and Schupp E., Combinatorial Group Theory, Springer-Verlag, Berlin, Heidelberg, New York, 1977. | MR 577064 | Zbl 0368.20023

[9] Magnus V., Karrass A. and Solitar D., Combinatorial Group Theory : Presentations of groups in terms of generators and relations, John Wiley and Sons, Inc., New York, London, Sydney, 1966. | MR 207802 | Zbl 0138.25604

[10] Malčev A. I., On homomorphisms onto the finite groups, Uchenye Zapiski Ivanovskogo pedinstituta, (Russian), 18, (1958), n.5, 49-60.

[11] Marston C., Three-relator quotients of the Modular Group, Quart. J . Math. Oxford (2), 38, 1987, 127-447. | Zbl 0628.20030

[12] Neumann H., Varieties of Groups, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 37, Springer-Verlag, Berlin-Heidelberg-N.Y., 1967. | Zbl 0149.26704