Description 
1 online resource (vi, 163 pages) : illustrations 
Series 
Memoirs of the American Mathematical Society, 00659266 ; 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 pcompletion 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 161163) 
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 

9781470455071 

9781470455088 

1470455080 
