A characterization of the groups and by their -fusion systems, q odd
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Published:2022
Issue:
Volume:10
Page:
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ISSN:2050-5094
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Container-title:Forum of Mathematics, Sigma
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language:en
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Short-container-title:Forum of Mathematics, Sigma
Abstract
Abstract
Let q be a nontrivial odd prime power, and let
$n \ge 2$
be a natural number with
$(n,q) \ne (2,3)$
. We characterize the groups
$PSL_n(q)$
and
$PSU_n(q)$
by their
$2$
-fusion systems. This contributes to a programme of Aschbacher aiming at a simplified proof of the classification of finite simple groups.
Publisher
Cambridge University Press (CUP)
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis
Reference50 articles.
1. The Theory of Finite Groups
2. Fusion Systems in Algebra and Topology
3. Automorphisms of fusion systems of finite simple groups of Lie type;Broto;Mem. Amer. Math. Soc.,2019
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