Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-09T05:23:14.986Z Has data issue: false hasContentIssue false
  • English
  • Français

Growth sequences of 2-generator simple groups

Published online by Cambridge University Press:  14 November 2011

V. N. Obraztsov
V. N. Obraztsov
Affiliation:
Department of Mathematics and Physics, Kostroma Teachers' Training Institute, First of May 14, Kostroma 156601, Russia
Get access Rights & Permissions [Opens in a new window]

Synopsis

A study is made of the minimum number of generators of the n-th direct power of certain 2-generator groups.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 5 , 1993 , pp. 839 - 855
Copyright
Copyright © Royal Society of Edinburgh 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Guba, V. S.. A finitely generated simple group with free 2-generator subgroups. Sibirsk. Mat. Zn. 27 (1986), 50–67 (in Russian).Google Scholar
2Kourovka Notebook: unsolved problems of group theory, 9th edn (Novosibirsk: Inst. Math. Siberian Dep. Acad. Sci. USSR, 1984 (in Russian)).Google Scholar
3Meier, D. and Wiegold, J.. Growth sequences of finite groups V. J. Austral. Math. Soc. Ser. A 31 (1981), 374–375.Google Scholar
4Yu. Ol'shanskii, A.. Geometry of defining relations in groups, Mathematics and its applications, Soviet ser. 70 (Dordrecht: Kluwer Academic Publishers, 1991).Google Scholar
5Stewart, A. G. R. and Wiegold, J.. Growth sequences of finitely generated groups II. Bull. Austral. Math. Soc. 40 (1988), 323–329.CrossRefGoogle Scholar
6Wiegold, J.. Growth sequences of finite groups. Austral. Math. Soc. 17 (1974), 139–141.Google Scholar
7Wiegold, J.. Growth sequences of finite groups II. J. Austral. Math. Soc. 20 (1975), 225–229.CrossRefGoogle Scholar
8Wiegold, J.. Growth sequences of finite groups III. Austral. Math. Soc. 25 (1978), 142–144.Google Scholar
9Wiegold, J.. Growth sequences of finite groups IV.J. Austral. Math. Soc. 29 (1980), 14–16.CrossRefGoogle Scholar
10Wiegold, J.. Is the direct square of every 2-generator simple group 2-generator? Publ. Math. Debrecen 35 (1988), 207–209.CrossRefGoogle Scholar
11Wiegold, J. and Wilson, J. S.. Growth sequences of finitely generated groups. Arch. Math. 30 (1978), 337–343.CrossRefGoogle Scholar
12Wilson, J. S.. On characteristically simple groups. Math. Proc. Cambridge Philos. Soc. 80 (1976), 19–35.CrossRefGoogle Scholar