Fusion systems with Benson–Solomon components

نویسندگان

چکیده

The Benson–Solomon systems comprise an infinite ascending family of simple exotic fusion at the prime 2. results we prove give significant additional evidence that these are only 2-fusion systems, as conjectured by Solomon. We consider a saturated system F having involution centralizer with component C isomorphic to system, and show under rather general hypotheses cannot be simple. Furthermore, if is almost properties, then next larger extended group field automorphisms. Our situated within Aschbacher’s program provide new proof major part classification finite groups via systems. One most important steps in this Walter’s Theorem for our first result specifically tailored use step. apply treat problem assumption each on list currently known quasisimple

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ژورنال

عنوان ژورنال: Duke Mathematical Journal

سال: 2022

ISSN: ['1547-7398', '0012-7094']

DOI: https://doi.org/10.1215/00127094-2021-0031