Extensions of the Benson-Solomon fusion systems

DOI10.1007/978-3-319-94033-5_10zbMATH Open1544.20038MaRDI QIDQ6599303

Justin Lynd, Ellen Henke

Publication date: 6 September 2024

zbMATH Keywords

fusion systemlinking systemgroup extensionBenson-Solomon fusion system

Mathematics Subject Classification ID

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)

Cites Work

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• Products in fusion systems.
• A group-theoretic approach to a family of 2-local finite groups constructed by Levi and Oliver.
• Construction of 2-local finite groups of a type studied by Solomon and Benson
• A characterization of the 2-fusion system of \(L_4(q)\).
• Centralizers of subsystems of fusion systems
• Simple fusion systems and the Solomon 2-local groups.
• A note on the Schur multiplier of a fusion system.
• Correction to: Construction of 2-local finite groups of a type studied by Solomon and Benson
• Reduced, tame and exotic fusion systems
• Extensions of linking systems and fusion systems
• The generalized Fitting subsystem of a fusion system
• Automorphisms of Finite Linear Groups
• The linking systems of the Solomon 2-local finite groups are simply connected
• Normal subsystems of fusion systems
• A New Finite Loop Space at the Prime Two
• The homotopy theory of fusion systems
• Normal subsystems of fusion systems

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