Symmetric groups and fixed points on modules: An application of group theory to topology

DOI10.1090/conm/688/13827zbMath1370.20018OpenAlexW4255468610MaRDI QIDQ5351689

George Glauberman

Publication date: 30 August 2017

Published in: Groups, Rings, Group Rings, and Hopf Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/688/13827

zbMATH Keywords

fixed pointsfusion systemsMartino-Priddy conjecture

Mathematics Subject Classification ID

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

Cites Work

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• Fusion systems and localities.
• Existence and uniqueness of linking systems: Chermak's proof via obstruction theory
• Control of fixed points and existence and uniqueness of centric linking systems
• Equivalences of classifying spaces completed at odd primes
• Unstable homotopy classification of
• Equivalences of classifying spaces completed at the prime two

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