Recognizing SL2(q) in fusion systems

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14 Citations (Scopus)

Abstract

We show that, given a saturated fusion system, it is, under certain conditions, possible to identify SL2(q) acting on a natural module inside the normalizer of an essential subgroup. In particular, this is the case if the fusion system is non-constrained and has only one conjugacy class of essential subgroups.
Original languageEnglish
Pages (from-to)679-702
Number of pages24
JournalJournal of Group Theory
Volume13
Issue number5
DOIs
Publication statusPublished - Apr 2010

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