An algebraic model for finite loop spaces

DOI10.2140/agt.2014.14.2915zbMath1306.55008arXiv1212.2033OpenAlexW2034821905MaRDI QIDQ470705

Ran Levi, Carles Broto, Robert Oliver

Publication date: 13 November 2014

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2033

zbMATH Keywords

classifying spacesfusion\(p\)-local compact groupsfinite loop spaces

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (11)

The topological nilpotence degree of a Noetherian unstable algebra ⋮ A Krull–Remak–Schmidt theorem for fusion systems ⋮ Automorphisms of \(p\)-local compact groups ⋮ Normalizers of chains of discrete \(p\)-toral subgroups in compact Lie groups ⋮ Subgroup collections controlling the homotopy type of a \(p\)-local compact group ⋮ The rational cohomology of a 𝑝-local compact group ⋮ Unitary embeddings of finite loop spaces ⋮ Existence and uniqueness of classifying spaces for fusion systems over discretep-toral groups ⋮ Reduced fusion systems over p-groups with abelian subgroup of index p: III ⋮ Fusion systems ⋮ Stratification and duality for homotopical groups

Cites Work

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• On Semisimplicial Fibre-Bundles
• The rational cohomology of a 𝑝-local compact group
• Subgroup families controlling p-local finite groups
• Simplicial homotopy theory
• Simplicial homotopy theory

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