Free Delivery Over $100
|
|
|||
|
||||
OverviewFor 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 $\mathrm{Out}(G)$. Full Product DetailsAuthor: Carles Broto , Jesper M. Moller , Bob OliverPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.325kg ISBN: 9781470437725ISBN 10: 1470437724 Pages: 115 Publication Date: 30 June 2020 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsIntroduction Tame and reduced fusion systems Background on finite groups of Lie type Automorphisms of groups of Lie type The equicharacteristic case The cross characteristic case: I The cross characteristic case: II Appendix A. Injectivity of $\mu _G$ by Bob Oliver Bibliography.ReviewsAuthor InformationCarles Broto, Universitat Autonoma de Barcelona, Bellaterra, Spain. Jesper M. Moller, Matematisk Institut, Kobenhavn, Denmark. Bob Oliver, Universite Paris 13, Villetaneuse, France. Tab Content 6Author Website:Countries AvailableAll regions |
||||
