Fusion systems and localities -- a dictionary

DOI10.1016/j.aim.2022.108690OpenAlexW3174659785MaRDI QIDQ2094581

Ellen Henke, Andrew Chermak

Publication date: 8 November 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05343

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) Finite simple groups and their classification (20D05) Local properties of groups (20E25) Other generalizations of groups (20N99)

Related Items (2)

Some products in fusion systems and localities ⋮ Realizability and tameness of fusion systems

Cites Work

• Unnamed Item
• Unnamed Item
• Products in fusion systems.
• Fusion systems and localities.
• Existence and uniqueness of linking systems: Chermak's proof via obstruction theory
• Applications of the FF-module theorem and related results.
• Products of partial normal subgroups
• Centralizers of normal subsystems revisited
• Normalizers and centralizers of \(p\)-subgroups in normal subsystems of fusion systems
• Direct and central products of localities
• Sylow intersections and fusion
• Reduced, tame and exotic fusion systems
• The generalized Fitting subsystem of a fusion system
• Extensions of $p$-local finite groups
• Normal subsystems of fusion systems
• The homotopy theory of fusion systems
• Alperin’s fusion theorem for localities
• Subcentric linking systems
• Extensions of homomorphisms between localities
• Finite localities I
• Subgroup families controlling p-local finite groups

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