Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-25T08:27:11.174Z Has data issue: false hasContentIssue false
  • English
  • Français

Growth sequences of finite groups II

Published online by Cambridge University Press:  09 April 2009

James Wiegold
James Wiegold
Affiliation:
University College, Cardiff, U.K.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The aim of this paper is to give solutions of some of the problems raised in Wiegold (1974). The main content is the proof of Theorems A and B following, which are improvements of Theorems 4.5 and 3.4 respectively of Wiegold (1974). All unexplained notation will be as in that paper, which would perhaps best be viewed as a preliminary to this one.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 20 , Issue 2 , September 1975 , pp. 225 - 229
Copyright
Copyright © Australian Mathematical Society 1975

References

John, Cossey, Gruenberg, K. W. and Kovács, L. G., (1974) ‘The presentation rank of a direct product of finite groups’, J. Algebra 28, 597–603.Google Scholar
Gaschütz, W. (1955), ‘Zu einem von B. H. und H. Neumann gestellten Problem’, Math. Nachr. 14, 249–252.CrossRefGoogle Scholar
Gaschütz, W. (1959), ‘Die Eulersche Funktion endlicher auflösbarer Gruppen’, Illinois J. Math. 3, 469–476.Google Scholar
James, Wiegold (1974), ‘Growth sequences of finite groups, J. Austral. Math. Soc. 17, 133–141.Google Scholar