Weights for \(\ell\)-local compact groups

DOI10.1016/j.jalgebra.2023.08.029zbMath1526.20019arXiv2208.12762OpenAlexW4386505343MaRDI QIDQ6054774

Jason Semeraro

Publication date: 25 October 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.12762

zbMATH Keywords

Alperin's weight conjectureblocksweight conjectures\(p\)-local compact groupsfusion 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) Compact groups (22C05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Cites Work

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• Finite approximations of \(p\)-local compact groups
• Unstable Adams operations on \(p\)-local compact groups
• Unstable Adams operations acting on \(p\)-local compact groups and fixed points
• Discrete models for the \(p\)-local homotopy theory of compact Lie groups and \(p\)-compact groups
• Reduced fusion systems over \(p\)-groups with abelian subgroup of index \(p\). II
• Weight conjectures for fusion systems
• A reduction theorem for the McKay conjecture.
• Reduced, tame and exotic fusion systems

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