Mislin's theorem for fusion systems via Mackey functors

2013/12/31 by Sejong Park, Park, Sejong
Mathematics · #20C20 #20D20 #20J05 #20J06 #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.AT #math.RT #msc:20C20 #msc:20D20 #msc:20J05 #msc:20J06

paper · pdf · doi:10.48550/arxiv.1401.0208

6 pages. An earlier claim to an 'algebraic' proof has been withdrawn. The author thanks Prof. Akihiko Hida for pointing out the gap in the purported proof

openalex publication_date 2013/12/31 · arxiv created 2014/01/20 · arxiv updated 2014/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We state and prove a fusion system version of Mislin's theorem \citeMislin1990 on cohomology and control of fusion, following Symonds's proof \citeSymonds2004 of Mislin's theorem using Mackey functors.

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