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Automorphisms of fusion systems of finite simple groups of lie type / / Carles Broto, Jesper M. Møller, Bob Oliver



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Autore: Broto Carles Visualizza persona
Titolo: Automorphisms of fusion systems of finite simple groups of lie type / / Carles Broto, Jesper M. Møller, Bob Oliver Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2019]
©2019
Descrizione fisica: 1 online resource (vi, 163 pages) : illustrations
Disciplina: 512.2
Soggetto topico: Finite simple groups
Classificazione: 20D0620D2020D4520E4255R35
Persona (resp. second.): MøllerJesper
OliverRobert <1949->
Note generali: "Automorphisms of fusion systems of sporadic simple groups"--Title page.
Nota di bibliografia: Includes bibliographical references.
Sommario/riassunto: "For a finite group G of Lie type and a prime p, we 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 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[caret]p in terms of Out(G)."--
Titolo autorizzato: Automorphisms of fusion systems of finite simple groups of lie type  Visualizza cluster
ISBN: 1-4704-5507-2
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910819130903321
Lo trovi qui: Univ. Federico II
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Serie: Memoirs of the American Mathematical Society ; ; Volume 1267.