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Book Cover
Author Broto, Carles, 1959- author.

Title Automorphisms of fusion systems of finite simple groups of lie type / Carles Broto, Jesper M. Møller, Bob Oliver. Automorphisms of fusion systems of sporadic simple groups / Bob Oliver
Published Providence : American Mathematical Society, [2019]


Description 1 online resource (vi, 163 pages) : illustrations
Series Memoirs of the American Mathematical Society, 0065-9266 ; number 1267
Memoirs of the American Mathematical Society ; no. 1267.
Summary 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 the p-completion of the classifying space BG in terms of Out(G)
Notes "November 2019; Volume 262; number 1267 (fourth of 7 numbers)"--Cover
Bibliography Includes bibliographical references (pages 161-163)
Notes Description based on print version record
Subject Finite simple groups.
Lie groups.
Grupos de Lie
Grupos finitos
Finite simple groups
Lie groups
Form Electronic book
Author Møller, Jesper, author.
Oliver, Robert, 1949- author.
Container of (work): Oliver, Robert, 1949- Automorphisms of fusion systems of sporadic simple groups
ISBN 1470455072