@misc{2515734292cd4bf4856bbf4e42ada7c0,
title = "Realizability and tameness of fusion systems",
abstract = "The fusion system of a finite group at a prime $p$ is a category that encodes all conjugacy relations among subgroups and elements of a given Sylow $p$-subgroup. Such a fusion system is tame if there is some (possibly different) finite group that realizes it, with the property (very approximately) that all automorphisms of the fusion system are induced by automorphisms of the group. In this paper, we prove that all fusion systems of finite groups are tame. This was already known for fusion systems of (known) finite simple groups, and the arguments here consist mainly of a reduction to that case. In particular, this result depends on the classification of finite simple groups.",
keywords = "Classifying-spaces, Equivalences, Existence, Extensions, Linking systems, Subgroups, Uniqueness",
author = "{Broto Blanco}, Carlos and M{\o}ller, {Jesper M.} and Bob Oliver and {Ruiz Cirera}, Albert",
note = "Publisher Copyright: {\textcopyright} 2023 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",
year = "2023",
month = jan,
doi = "10.1112/plms.12571",
language = "English",
volume = "127",
series = "Proceedings of the London Mathematical Society",
publisher = "London Mathematical Society",
edition = "6",
type = "Other",
}