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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.
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Abstract

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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).

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

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