paper

Mislin's theorem for fusion systems via Mackey functors

arXiv:1401.0208

Abstract

We state and prove a fusion system version of Mislin's theorem \cite{Mislin1990} on cohomology and control of fusion, following Symonds's proof \cite{Symonds2004} of Mislin's theorem using Mackey functors.

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 An earlier claim to an 'algebraic' proof has been withdrawn.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

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