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Groups 2-Transitive on a set of their Sylow subgroups

Published online by Cambridge University Press:  17 April 2009

Ben Brewster  and
Michael B. Ward
Ben Brewster
Affiliation:
Department of Mathematical SciencesSUNY – BinghamtonBinghamton NY 13901United States of America
Michael B. Ward
Affiliation:
Department of MathematicsBucknell UniversityLewisburg PA 17839United States of America e-mail: [email protected]
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Abstract

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We classify, modulo the kernel of the action, finite groups G that act 2-transitively on Sylr(G) for some prime r dividing |G|. We furthermore prove that any finite group that acts 2-transitively on Sylr(G) for each prime r is solvable and of nilpotent length at most 3.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 1 , August 1995 , pp. 117 - 136
Copyright
Copyright © Australian Mathematical Society 1995

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