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Fusion Systems in Algebra and Topology

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Fusion Systems in Algebra and Topology

606 kr
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 i
  • Teknikk, Matematikk & Statistikk
  • Bok
  • Pocket
  • English
  • Bob Oliver, Michael Aschbacher, Radha Kessar
Les mer
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. This book serves as a basic reference and as an introduction to the field, particularly for students and other young mathematicians.
  • Sjanger
    Teknikk Matematikk & Statistikk
  • Formater
    Bok
  • EAN
    9781107601000
  • Publisher
    Cambridge University Press
  • Innbindning
    Pocket
  • Språk
    English
  • ISBN
    9781107601000
  • Læremiddel
    0
  • Serie
    London Mathematical Society Lecture Note Series
  • Størrelse
    330
  • Forfatter
    Bob Oliver Michael Aschbacher Radha Kessar
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