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Fusion systems in algebra and topology /
"A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was original...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2011.
|
| Colección: | London Mathematical Society lecture note series ;
391. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Aschbacher, Michael, |d 1944- |1 https://id.oclc.org/worldcat/entity/E39PBJcGm66wBrRJJxDHyCgtKd | |
| 245 | 1 | 0 | |a Fusion systems in algebra and topology / |c Michael Aschbacher, Radha Kessar, Bob Oliver. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2011. | ||
| 300 | |a 1 online resource (vi, 320 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 490 | 1 | |a London mathematical society lecture note series ; |v 391 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 1. Introduction to fusion systems -- 2. The local theory of fusion systems -- 3. Fusion and homotopy theory -- 4. Fusion and representation theory -- Appendix A. Background facts about groups. | |
| 520 | |a "A fusion system over a p-group S is a category whose objects form the set of all subgroups of S, whose morphisms are certain injective group homomorphisms, and which satisfies axioms first formulated by Puig that are modelled on conjugacy relations in finite groups. The definition was originally motivated by representation theory, but fusion systems also have applications to local group theory and to homotopy theory. The connection with homotopy theory arises through classifying spaces which can be associated to fusion systems and which have many of the nice properties of p-completed classifying spaces of finite groups. Beginning with a detailed exposition of the foundational material, the authors then proceed to discuss the role of fusion systems in local finite group theory, homotopy theory and modular representation theory. The book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians"-- |c Provided by publisher | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Combinatorial group theory. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 6 | |a Théorie combinatoire des groupes. | |
| 650 | 6 | |a Groupes topologiques. | |
| 650 | 6 | |a Topologie algébrique. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x General. |2 bisacsh | |
| 650 | 7 | |a Algebraic topology |2 fast | |
| 650 | 7 | |a Combinatorial group theory |2 fast | |
| 650 | 7 | |a Topological groups |2 fast | |
| 650 | 7 | |a p-Gruppe |2 gnd | |
| 650 | 7 | |a Darstellungstheorie |2 gnd | |
| 650 | 7 | |a Homotopietheorie |2 gnd | |
| 700 | 1 | |a Kessar, Radha. | |
| 700 | 1 | |a Oliver, Robert, |d 1949- |1 https://id.oclc.org/worldcat/entity/E39PCjwxdQWcK8JPDmWvQBTMWC | |
| 758 | |i has work: |a Fusion systems in algebra and topology (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGfWdbCY6mvTtDwFxydc8y |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Aschbacher, Michael, 1944- |t Fusion systems in algebra and topology. |d Cambridge ; New York : Cambridge University Press, 2011 |z 9781107601000 |w (DLC) 2011019266 |w (OCoLC)727702110 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 391. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=802953 |z Texto completo |
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