Extensions of homomorphisms between localities

DOI10.1017/fms.2021.57OpenAlexW3200093427MaRDI QIDQ5021942

Ellen Henke

Publication date: 17 January 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.12626

zbMATH Keywords

fusion systemslocalitiestransporter 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) Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05)

Related Items (4)

Some products in fusion systems and localities ⋮ Kernels of localities ⋮ Normalizers and centralizers of \(p\)-subgroups in normal subsystems of fusion systems ⋮ Fusion systems and localities -- a dictionary

Cites Work

• Unnamed Item
• Fusion systems and localities.
• Existence and uniqueness of linking systems: Chermak's proof via obstruction theory
• Extensions of linking systems with \(p\)-group kernel
• 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
• Extensions of $p$-local finite groups
• The homotopy theory of fusion systems
• Alperin’s fusion theorem for localities
• Subcentric linking systems
• Equivalences of classifying spaces completed at odd primes
• Equivalences of classifying spaces completed at the prime two
• Subgroup families controlling p-local finite groups
• Rigid automorphisms of linking systems

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