Equivalences between fusion systems of finite groups of Lie type

DOI10.1090/S0894-0347-2011-00713-3zbMath1250.20011arXiv0803.1746OpenAlexW2057906308WikidataQ115281424 ScholiaQ115281424MaRDI QIDQ3115806

Carles Broto, Robert Oliver, Jesper Michael Møller

Publication date: 11 February 2012

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1746

zbMATH Keywords

classifying spacesfinite groups of Lie typecategories of groupsfusion categoriesequivalences of categoriesfusion systems\(p\)-completions

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Simple groups: alternating groups and groups of Lie type (20D06) Category of groups (20J15) Maps between classifying spaces in algebraic topology (55R37)

Related Items

Fusion systems with Benson-Solomon components, Reduced fusion systems over 2-groups of sectional rank at most 4, Fusion systems and amalgams., Reduced fusion systems over \(p\)-groups with abelian subgroup of index \(p\). II, Reduced fusion systems over 2-groups of small order, A characterization of the groups and by their -fusion systems, q odd, Fusion systems realizing certain Todd modules, Simplicity of fusion systems of finite simple groups, A characterization of the 2-fusion system of \(L_4(q)\)., The generalized Fitting subsystem of a fusion system, Automorphisms of fusion systems of finite simple groups of Lie typeandAutomorphisms of fusion systems of sporadic simple groups, Fusion systems, Equivariant Euler characteristics of subspace posets

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