bokomslag Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type
Vetenskap & teknik

Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type

Carles Broto Jesper M Moller Bob Oliver

Pocket

1369:-

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  • 115 sidor
  • 2020
For a finite group $G$ of Lie type and a prime $p$, the authors compare the automorphism groups of the fusion and linking systems of $G$ at $p$ with the automorphism group of $G$ itself. When $p$ is the defining characteristic of $G$, they are all isomorphic, with a very short list of exceptions. When $p$ is different from the defining characteristic, the situation is much more complex but can always be reduced to a case where the natural map from $\mathrm{Out}(G)$ to outer automorphisms of the fusion or linking system is split surjective. This work is motivated in part by questions involving extending the local structure of a group by a group of automorphisms, and in part by wanting to describe self homotopy equivalences of $BG^\wedge _p$ in terms of $\mathrm{Out}(G)$.
  • Författare: Carles Broto, Jesper M Moller, Bob Oliver
  • Format: Pocket/Paperback
  • ISBN: 9781470437725
  • Språk: Engelska
  • Antal sidor: 115
  • Utgivningsdatum: 2020-06-30
  • Förlag: American Mathematical Society