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.

Format:

Book

Author/Creator:

Broto, Carles, 1959- author.

Møller, Jesper, author.

Oliver, Robert, 1949- author.

Series:

Memoirs of the American Mathematical Society ; no. 1267.

Memoirs of the American Mathematical Society, 0065-9266 ; number 1267

Language:

English

Subjects (All):

Finite simple groups.

Lie groups.

Physical Description:

vi, 163 pages : illustrations ; 26 cm.

Place of Publication:

Providence : American Mathematical Society, [2019]

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)."

Includes bibliographical references (page 161-163).

Contains:

Container of: Oliver, Robert, 1949- Automorphisms of fusion systems of sporadic simple groups.

ISBN:

1470437724

9781470437725

OCLC:

1121160043