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Automorphisms of fusion systems of finite simple groups of lie type /
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...
| Call Number: | Libro Electrónico |
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| Main Authors: | , , |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Providence :
American Mathematical Society,
[2019]
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| Series: | Memoirs of the American Mathematical Society ;
no. 1267. |
| Subjects: | |
| Online Access: | Texto completo |
| 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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| Item Description: | "November 2019; Volume 262; number 1267 (fourth of 7 numbers)"--Cover |
| Physical Description: | 1 online resource (vi, 163 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 161-163) |
| ISBN: | 1470455072 9781470455071 9781470455088 1470455080 |
| ISSN: | 0065-9266 ; |