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Finite groups which admit a fixed-point-free automorphism group isomorphic to S3

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

David Parrott
David Parrott
Affiliation:
University of AdelaideAdelaide, S.A. 5001, Australia
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Abstract

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Let G be a finite group of even order coprime to 3. If G admits a fixed-point-free automorphism group isomorphic to the symmetric group on three letters, then we prove that G is soluble.

MSC classification

Secondary: 20D05: Finite simple groups and their classification
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 3 , June 1990 , pp. 384 - 396
Copyright
Copyright © Australian Mathematical Society 1990

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