Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type Paperback / softback
by Carles Broto, Jesper M. Moller, Bob Oliver
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
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 $\mathrm{Out}(G)$.
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:115 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2020
- Category:
- ISBN:9781470437725
Other Formats
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Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:115 pages
- Publisher:American Mathematical Society
- Publication Date:30/06/2020
- Category:
- ISBN:9781470437725
