Some products in fusion systems and localities

DOI10.1090/proc/16175OpenAlexW3175379132MaRDI QIDQ5060339

Ellen Henke

Publication date: 10 January 2023

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

Full work available at URL: https://arxiv.org/abs/2107.00301

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Local properties of groups (20E25) Other generalizations of groups (20N99)

Cites Work

• Unnamed Item
• Products in fusion systems.
• Fusion systems and localities.
• Existence and uniqueness of linking systems: Chermak's proof via obstruction theory
• Products of partial normal subgroups
• Fusion systems and localities -- a dictionary
• Normalizers and centralizers of \(p\)-subgroups in normal subsystems of fusion systems
• Extensions of linking systems with \(p\)-group kernel
• Control of fixed points and existence and uniqueness of centric linking systems
• Extensions of linking systems and fusion systems
• The generalized Fitting subsystem of a fusion system
• Normal subsystems of fusion systems
• The homotopy theory of fusion systems
• Subcentric linking systems
• Extensions of homomorphisms between localities
• Finite localities I
• Subgroup families controlling p-local finite groups

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