Automorphisms of fusion systems of finite simple groups of lie type /

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Bibliographic Details
Author / Creator:Broto, Carles, 1959- author.
Imprint:Providence : American Mathematical Society, [2019]
Description:vi, 163 pages : illustrations ; 26 cm.
Series:Memoirs of the American Mathematical Society, 0065-9266 ; number 1267
Memoirs of the American Mathematical Society ; no. 1267.
Subject:Finite simple groups.
Lie groups.
Finite simple groups.
Lie groups.
Format: Print Book
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Other uniform titles:Møller, Jesper,
Oliver, Robert, 1949-
Container of (work): Oliver, Robert, 1949- Automorphisms of fusion systems of sporadic simple groups.
Notes:"November 2019; Volume 262; number 1267 (fourth of 7 numbers)."
Includes bibliographical references (page 161-163).
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).

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Call Number: QA1.A528 no.1267
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