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A Note on Partition-Inducing Automorphism Groups

Published online by Cambridge University Press:  20 November 2018

Martin R. Pettet
Martin R. Pettet*
Affiliation:
University of ToledoToledo, Ohio 43606, U.S.A.
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Abstract

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We consider a finite group G with a group A acting on it in such a way as to induce a partition of G# (a situation which arises in the study of centralizer near-rings). With the additional hypothesis that (|Aω|, |G|) = 1, it is shown that either A is semiregular on G# or G is an irreducible module for A.

Keywords

20D9916A76
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 2 , 01 June 1984 , pp. 157 - 159
Copyright
Copyright © Canadian Mathematical Society 1984

References

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