Assigning a classifying space to a fusion system up to F-isomorphism

2011/04/28 by Nora Seeliger, Seeliger, Nora
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1104.5331

openalex publication_date 2011/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Complementing and extending the Inventiones work of Benson, Grodal, Henke [Group cohomology and control of p-fusion, Invent. Math. 197 (2014), 491--507] we give criteria for a space to have cohomology (strongly) F-isomorphic in the sense of Quillen to the stable elements. We extend results about groups models to fusion systems over discrete p-toral groups and profinite groups and provide various applications to the Kan-Thurston Theorem.

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