Exotic normal fusion subsystems of general linear groups

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Abstract

We classify the saturated fusion subsystems of index prime to p of the general linear group over q over a Sylow p-subgroup, where q is a prime power prime to an odd prime p. In this classification we obtain some of the exotic p-local finite groups discovered by Broto and Møller as saturated fusion subsystems of general linear groups. © 2007 London Mathematical Society.
Original languageEnglish
Pages (from-to)181-196
JournalJournal of the London Mathematical Society
Volume76
DOIs
Publication statusPublished - 1 Jan 2007

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