Reductions to simple fusion systems

DOI10.1112/blms/bdw052zbMath1430.20017arXiv1601.07978OpenAlexW3102594423MaRDI QIDQ2980182

Robert Oliver

Publication date: 28 April 2017

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

Full work available at URL: https://arxiv.org/abs/1601.07978

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05)

Related Items

Fusion systems with Benson-Solomon components ⋮ Fusion systems with some sporadic \(J\)-components ⋮ A characterization of the groups and by their -fusion systems, q odd ⋮ Realizability and tameness of fusion systems ⋮ Fusion systems over \(M_p(1, 1, 1) {\times} A\)-groups ⋮ Automorphisms of fusion systems of finite simple groups of Lie typeandAutomorphisms of fusion systems of sporadic simple groups ⋮ Fusion systems ⋮ Corrigendum: Reductions to simple fusion systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and uniqueness of linking systems: Chermak's proof via obstruction theory
• Control of fixed points and existence and uniqueness of centric linking systems
• Reduced, tame and exotic fusion systems
• Extensions of linking systems and fusion systems
• The generalized Fitting subsystem of a fusion system
• On the definition of saturated fusion systems
• Extensions of $p$-local finite groups
• The homotopy theory of fusion systems
• Subgroup families controlling p-local finite groups