Generation of fusion systems of characteristic 2-type.

DOI10.1007/s00222-009-0229-zzbMath1234.20025OpenAlexW1975532426MaRDI QIDQ967584

Michael Aschbacher

Publication date: 30 April 2010

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-009-0229-z

zbMATH Keywords

finite \(p\)-groupsnormalizersSylow subgroupscharacteristic subgroupsfusion systems2-local subgroupsCampbell pairsfully normalized subgroupsgroups of characteristic 2-type

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (17)

Fusion systems with Benson-Solomon components ⋮ Walter's basic theorem for fusion systems ⋮ Fusion systems with \(U_3(3)\) J-components ⋮ Fusion systems with J-components over \(F_{2^e}\) with \(e>1\) ⋮ N-groups and fusion systems. ⋮ Saturated fusion systems as idempotents in the double Burnside ring. ⋮ Minimal fusion systems with a unique maximal parabolic. ⋮ On Fusion Systems of Component Type ⋮ A ghost ring for the left-free double Burnside ring and an application to fusion systems ⋮ Subcentric linking systems ⋮ A pair of characteristic subgroups for pushing-up. II ⋮ A characterization of the 2-fusion system of \(L_4(q)\). ⋮ The rank of fusion systems ⋮ The generalized Fitting subsystem of a fusion system ⋮ Fusion systems with alternating J‐components ⋮ Fusion systems ⋮ Existence of Strongly p-Embedded Subgroups

Cites Work

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• The generalized Fitting subsystem of a fusion system
• ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP
• Normal subsystems of fusion systems
• Overgroups of Sylow subgroups in sporadic groups
• A Factorization Theorem for 2-Constrained Groups
• Involutions in Chevalley groups over fields of even order
• The homotopy theory of fusion systems
• Subgroup families controlling p-local finite groups

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