Hostname: page-component-7f64f4797f-9h5t2 Total loading time: 0 Render date: 2025-11-04T08:07:39.069Z Has data issue: false hasContentIssue false
  • English
  • Français

On the normaliser of a group in the Cayley representation

Published online by Cambridge University Press:  17 April 2009

Prabir Bhattacharya
Prabir Bhattacharya
Affiliation:
Department of Mathematics, St Stephen's College, University of Delhi, Delhi 110007, India Department of Mathematics, University of Manitoba, Winnipeg, CanadaR3T 2N2.
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.

Let G be a p-group of order n and embed G into Sn by the Cayley representation. If X is a group such that G≨X≤Sn and CX(G) = G, then it is proved that G is properly contained in NX(G).

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 25 , Issue 1 , February 1982 , pp. 81 - 84
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Hall, Marshall Jr, The theory of groups (Macmillan, New York, 1959).Google Scholar
[2]Higman, Graham, Neumann, B.H., and Neumann, Hanna, “Embedding theorems for groups”, J. London Math. Soc. 24 (1949), 247–254.CrossRefGoogle Scholar
[3]Wielandt, Helmut, Finite permutation groups (translated by Bercov, R.. Academic Press, New York, London, 1964).Google Scholar