A group-theoretic approach to a family of 2-local finite groups constructed by Levi and Oliver.

DOI10.4007/annals.2010.171.881zbMath1213.20017OpenAlexW1975831690MaRDI QIDQ974059

Michael Aschbacher, Andrew Chermak

Publication date: 27 May 2010

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: http://annals.princeton.edu/annals/2010/171-2/p06.xhtml

zbMATH Keywords

classifying spacesfinite \(p\)-groupsSylow subgroupsfusion systems\(p\)-local finite groupssignalizer functors\(p\)-local groupscategories of 2-local groupscentric linking systems

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homotopy theory (55P99) Finite nilpotent groups, (p)-groups (20D15) Category of groups (20J15) Maps between classifying spaces in algebraic topology (55R37)

Related Items (10)

Fusion systems with Benson-Solomon components ⋮ Minami-Webb splittings and some exotic \(p\)-local finite groups ⋮ Weights in a Benson-Solomon block ⋮ Punctured groups for exotic fusion systems ⋮ N-groups and fusion systems. ⋮ Saturated fusion systems as idempotents in the double Burnside ring. ⋮ A ghost ring for the left-free double Burnside ring and an application to fusion systems ⋮ Cohomology of infinite groups realizing fusion systems ⋮ The generalized Fitting subsystem of a fusion system ⋮ Fusion systems

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