Subcentric linking systems

DOI10.1090/tran/7388zbMath1441.20013arXiv1506.01458OpenAlexW2202095648MaRDI QIDQ4645119

Ellen Henke

Publication date: 10 January 2019

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

Full work available at URL: https://arxiv.org/abs/1506.01458

zbMATH Keywords

homotopy theory of fusion systemssubcentric subgroups of fusion systems

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homological methods in group theory (20J05)

Related Items (12)

Fusion systems with Benson-Solomon components ⋮ Some products in fusion systems and localities ⋮ Centralizers of normal subsystems revisited ⋮ Direct and central products of localities ⋮ Kernels of localities ⋮ Realizability and tameness of fusion systems ⋮ Punctured groups for exotic fusion systems ⋮ Normalizers and centralizers of \(p\)-subgroups in normal subsystems of fusion systems ⋮ Fusion systems ⋮ Fusion systems and localities -- a dictionary ⋮ Rigid automorphisms of linking systems ⋮ Extensions of homomorphisms between localities

Cites Work

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• Fusion systems of \(\mathbf F_2\)-type.
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• Minimal fusion systems with a unique maximal parabolic.
• Generation of fusion systems of characteristic 2-type.
• The theory of finite groups. An introduction.
• Extensions of linking systems with \(p\)-group kernel
• Direct and central products of localities
• 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
• Extensions of $p$-local finite groups
• $ZJ$-theorems for fusion systems
• The homotopy theory of fusion systems
• S₃-free 2-fusion systems
• Normal subsystems of fusion systems
• Subgroup families controlling p-local finite groups

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