Reduced fusion systems over 2-groups of sectional rank at most 4

DOI10.1090/memo/1131zbMath1382.20023OpenAlexW2285513221MaRDI QIDQ3455228

Robert Oliver

Publication date: 4 December 2015

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

Full work available at URL: https://semanticscholar.org/paper/723c01307af438561e99c0e8c2cbcd8950b95ace

zbMATH Keywords

finite groupsfinite simple groupsSylow subgroups, fusion

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Finite simple groups and their classification (20D05) Finite nilpotent groups, (p)-groups (20D15) Homology and homotopy of (Bmathrm{O}) and (Bmathrm{U}); Bott periodicity (55R45)

Related Items (10)

Saturated fusion systems over \(\mathcal {A}_2\)-groups ⋮ Reduced fusion systems over 2-groups of small order ⋮ Fusion systems on a Sylow \(p\)-subgroup of \(SU_4(p)\) ⋮ Simplicity of fusion systems of finite simple groups ⋮ A characterization of the 2-fusion system of \(L_4(q)\). ⋮ Fusion systems containing pearls ⋮ Automorphisms of fusion systems of finite simple groups of Lie typeandAutomorphisms of fusion systems of sporadic simple groups ⋮ Fusion systems ⋮ Fusion systems on a Sylow 3-subgroup of the McLaughlin group ⋮ Fusion systems on \(p\)-groups of sectional rank 3

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