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A non-coprime Hall-Higman reduction theorem
Published online by Cambridge University Press: 09 April 2009
Abstract
In a well-known paper, Hall and Higman proved the reduction theorem on a coprime order operator group acting on a finite group. This theorem plays an important role in local analysis of finite group theory. In this paper, we generalize the Hall-Higman reduction theorem by dropping the restrictive hypothesis (|G|, |H|) = 1 and determine the detailed structure of G completely.
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- Copyright © Australian Mathematical Society 1994
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