Thesis

### Some problems in the theory of finite insoluble groups

Abstract:

In this thesis, a study is made of finite groups which satisfy the following hypothesis:-

(*) G is a finite group admitting an automorphism α of order r with a fixed point subgroup of order q, where q and r are distinct prime numbers.

The main result is

Theorem A. Let G be a group satisfying hypothesis (*). Assume either that q is odd or that q = 2 and r is not a Fermat prime greater than 3. Then G is soluble.

First a structure theorem for solu...

Peer review status:
Peer Reviewed

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### Authors

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Department:
University of Oxford
This thesis was digitised thanks to the generosity of Dr Leonard Polonsky More from this funder
Publication date:
1969
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Local pid:
polonsky:12:26