Mislin's theorem for fusion systems via Mackey functors
Representation Theory
2014-01-21 v2 Algebraic Topology
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.
Cite
@article{arxiv.1401.0208,
title = {Mislin's theorem for fusion systems via Mackey functors},
author = {Sejong Park},
journal= {arXiv preprint arXiv:1401.0208},
year = {2014}
}
Comments
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 An earlier claim to an 'algebraic' proof has been withdrawn.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