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Splitting fusion systems over 2-groups

Part of: Representation theory of groups

Published online by Cambridge University Press:  05 December 2012

Bob Oliver
Bob Oliver*
Affiliation:
Laboratoire Analyse, Géometrie et Applications, Institut Galilée, Université Paris 13, 99 Avenue J.-B. Clément, 93430 Villetaneuse, France ([email protected])
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Abstract

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We find conditions which imply that a saturated fusion system over a product of 2-groups splits as a product of fusion systems over the factors.

Keywords

fusion systemfinite groupsautomorphisms

MSC classification

Secondary: 20D20: Sylow subgroups, Sylow properties, $pi$-groups, $pi$-structure 20C20: Modular representations and characters 20D40: Products of subgroups 20D45: Automorphisms
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 1 , February 2013 , pp. 263 - 301
Copyright
Copyright © Edinburgh Mathematical Society 2012

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