|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910813071703321 |
|
|
Autore |
Aschbacher Michael <1944-> |
|
|
Titolo |
Fusion systems in algebra and topology / / Michael Aschbacher, Radha Kessar, Bob Oliver |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cambridge ; ; New York, : Cambridge University Press, 2011 |
|
|
|
|
|
|
|
ISBN |
|
1-107-23223-6 |
1-139-10184-6 |
1-139-10364-4 |
1-299-40566-5 |
1-139-10118-8 |
1-139-09916-7 |
1-139-00384-4 |
|
|
|
|
|
|
|
|
Edizione |
[1st ed.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (vi, 320 pages) : digital, PDF file(s) |
|
|
|
|
|
|
Collana |
|
London Mathematical Society lecture note series ; ; 391 |
|
|
|
|
|
|
Classificazione |
|
|
|
|
|
|
Altri autori (Persone) |
|
KessarRadha |
OliverRobert <1949-> |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Combinatorial group theory |
Topological groups |
Algebraic topology |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Introduction to fusion systems -- The local theory of fusion systems -- Fusion and homotopy theory -- Fusion and representation theory -- Appendix A. Background facts about groups. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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 |
|
|
|
|