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How groups grow /

The first book to develop from the basics, with full proofs, the cutting-edge of Group Theory: the growth of groups.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mann, Avinoam, 1937-2023
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2012.
Colección:London Mathematical Society lecture note series ; 395.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; Contents; Preface; 1 Introduction; 2 Some Group Theory; 2.1 Finite Index Subgroups; 2.2 Growth; 2.3 Soluble and Polycyclic Groups; 2.4 Nilpotent Groups; 2.5 Isoperimetric Inequalities; 3 Groups of Linear Growth; 3.1 Linear Growth; 3.2 Linear Growth Functions; 4 The Growth of Nilpotent Groups; 4.1 Polynomial Growth of Nilpotent Groups; 4.2 Groups of Small Degree; 5 The Growth of Soluble Groups; 5.1 Soluble Groups of Polynomial Growth; 5.2 Uniform Exponential Growth of Soluble Groups; 6 Linear Groups; 7 Asymptotic Cones.