J Austral Math Soc Ser A 57 pp129--137, 1994.

A Non-Coprime Hall-Higman Reductoin Theorem

Yan-Ming Wang

(Received 20 February 1991; revised 5 July 1991)

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.

1991 AMS Subject Classification: 20D10, 20D15

Browse the article

Read the article in your browser. (Scale your print to fit your paper).

Authors

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

Editor JAMSB(E): editor at anziamj.austms.org.au
WWW Administrator: webmaster at anziamj.austms.org.au

Last Modified: Thu Jan 9 9:04:22 2003