On finite groups and homotopy theory

DOI10.1090/memo/0567zbMath0861.55002OpenAlexW2007267935MaRDI QIDQ4861544

Ran Levi

Publication date: 12 May 1997

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

Full work available at URL: https://doi.org/10.1090/memo/0567

zbMATH Keywords

cohomology groupshomotopy typeSylow subgroupsChern classescompletionfinite groupBockstein operatorsPostnikov systemsEilenberg-Maclane spacechain algebra

Mathematics Subject Classification ID

Cohomology of groups (20J06) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Localization and completion in homotopy theory (55P60) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)

Related Items (14)

Homotopy type and \(v_1\)-periodic homotopy groups of \(p\)-compact groups ⋮ Homotopy Invariant Commutative Algebra over Fields ⋮ Stratifying the derived category of cochains on \(BG\) for \(G\) a compact Lie group ⋮ Complete intersections and mod \(p\) cochains ⋮ Loop space homology of a small category ⋮ Unitary embeddings of finite loop spaces ⋮ On the idempotency of some composite functors ⋮ A generalization of the non-triviality theorem of Serre ⋮ Torsion in loop space homology of rationally contractible spaces ⋮ Homology exponents for \(H\)-spaces ⋮ An algebraic model for chains on $\Omega BG{}^{^\wedge }_p$ ⋮ Homotopy idempotent functors on classifying spaces ⋮ Nullification and cellularization of classifying spaces of finite groups ⋮ On the homotopy groups of \(p\)-completed classifying spaces

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