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Finite Groups Admitting an Automorphism Trivial on a Sylow 2-Subgroup

Published online by Cambridge University Press:  20 November 2018

John L. Hayden  and
David L. Winter
John L. Hayden
Affiliation:
Bowling Green State University, Bowling Green, Ohio
David L. Winter
Affiliation:
Michigan State University, East Lansing, Michigan
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In this paper we shall consider finite groups satisfying the following hypothesis.

Hypothesis I. Let G be a finite group which admits an automorphism σ of primeorder p, (p, |G|) = 1. Assume the fixed point subgroup B = CG(σ) contains some Sylow 2-subgroup.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 4 , 01 August 1977 , pp. 889 - 896
Copyright
Copyright © Canadian Mathematical Society 1977

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