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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.
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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