Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-06-30T01:42:42.542Z Has data issue: false hasContentIssue false
  • English
  • Français

Schunk classes are nilpotent product closed

Published online by Cambridge University Press:  17 April 2009

James Wiegold
James Wiegold
Affiliation:
Department of Pure Mathematics, SGS, Australian National University, Canberra. A.C.T. Department of Pure Mathematics, University College, Cardiff, U.K.
Rights & Permissions [Opens in a new window]

Abstract

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 following result is proved. Let X be a Schunk class and k a positive integer. Then the k–th nilpotent product of any two groups in X¯ is in X¯.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 1 , Issue 1 , April 1969 , pp. 27 - 28
Copyright
Copyright © Australian Mathematical Society 1969

References

[1] Golovin, O.N., “Nilpotent products of groups”, Amer. Math. Soc. Transl. (2) 2 (1956), 89–115. Translated from Mat. Sb. N.S. 27 (69) (1950), 427–454.Google Scholar
[2] Wielandt, Helmut, Finite permutation groups (Academic Press, New York, 1964).Google Scholar