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
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