Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type (eBook)

Carles Broto (Autor)

eBook Download: PDF

115 Seiten
American Mathematical Society (Verlag)
978-1-4704-5507-1 (ISBN)

Infos

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 $/mathrm{Out}(G)$.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-5507-2 / 1470455072
• ISBN-13: 978-1-4704-5507-1 / 9781470455071