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A Note on Partition-Inducing Automorphism Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1984