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A non-coprime Hall-Higman reduction theorem

Published online by Cambridge University Press:  09 April 2009

Yan-Ming Wang
Affiliation:
Mathematics Department, Zhongshan University, Guangzhou 510275, People's Republic of China
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1994

References

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