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A CHARACTERISATION OF p-SOLUBLE GROUPS

Published online by Cambridge University Press:  01 March 1997

PAUL FLAVELL
PAUL FLAVELL
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Birmingham B15 2TT
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Abstract

If p is a prime, then a finite group is p-soluble if each of its composition factors is either a p-group or has order coprime to p. For example, soluble groups are p-soluble. However, there are many insoluble groups that are p-soluble. We shall prove the following result.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 2 , March 1997 , pp. 177 - 183
Copyright
© The London Mathematical Society 1997

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