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- W2560111274 abstract "We prove here that with a very small number of exceptions, when $G$ is a sporadic simple group and $p$ is a prime such that the Sylow $p$-subgroups of $G$ are nonabelian, then $Out(G)$ is isomorphic to the outer automorphism groups of the fusion and linking systems of $G$. In particular, the $p$-fusion system of $G$ is tame in the sense of [AOV1], and is tamely realized by $G$ itself except when $Gcong M_{11}$ and $p=2$. From the point of view of homotopy theory, these results also imply that $Out(G)cong Out(BG^wedge_p)$ in many (but not all) cases." @default.
- W2560111274 created "2016-12-16" @default.
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- W2560111274 date "2019-01-01" @default.
- W2560111274 modified "2023-10-03" @default.
- W2560111274 title "Automorphisms of fusion systems of sporadic simple groups" @default.
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