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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
[2019]
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1267. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Broto, Carles, |d 1959- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJc7VJkGq4BxfYJdkPqCwC | |
| 245 | 1 | 0 | |a Automorphisms of fusion systems of finite simple groups of lie type / |c Carles Broto, Jesper M. Møller, Bob Oliver. Automorphisms of fusion systems of sporadic simple groups / Bob Oliver. |
| 264 | 1 | |a Providence : |b American Mathematical Society, |c [2019] | |
| 264 | 4 | |c ©2019 | |
| 300 | |a 1 online resource (vi, 163 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v number 1267 | |
| 500 | |a "November 2019; Volume 262; number 1267 (fourth of 7 numbers)"--Cover | ||
| 504 | |a Includes bibliographical references (pages 161-163) | ||
| 520 | 3 | |a 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). | |
| 588 | 0 | |a Description based on print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Finite simple groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 6 | |a Groupes simples finis. | |
| 650 | 6 | |a Groupes de Lie. | |
| 650 | 7 | |a Grupos de Lie |2 embne | |
| 650 | 7 | |a Grupos finitos |2 embne | |
| 650 | 7 | |a Finite simple groups |2 fast | |
| 650 | 7 | |a Lie groups |2 fast | |
| 700 | 1 | |a Møller, Jesper, |e author. | |
| 700 | 1 | |a Oliver, Robert, |d 1949- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjwxdQWcK8JPDmWvQBTMWC | |
| 700 | 1 | 2 | |i Container of (work): |a Oliver, Robert, |d 1949- |t Automorphisms of fusion systems of sporadic simple groups. |
| 758 | |i has work: |a Automorphisms of fusion systems of finite simple groups of lie type (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH7RWjyG8yjmhtKDVgbfMP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: Broto, Carles, 1959- |t Automorphisms of fusion systems of finite simple groups of Lie type. |d Providence, RI : American Mathematical Society, [2019] |z 9781470437725 |w (DLC) 2020023527 |w (OCoLC)1121160043 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1267. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=6118466 |z Texto completo |
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