A Course on Finite Groups

A Course on Finite Groups introduces the fundamentals of group theory to advanced undergraduate and beginning graduate students. Based on a series of lecture courses developed by the author over many years, the book starts with the basic definitions and examples and develops the theory to the point...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rose, H.E (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Universitext,
Temas:
Algebra.
Science-Study and teaching.
Group theory.
Science Education.
Group Theory and Generalizations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction-The Group Concept
  • Elementary Group Properties
  • Group Construction and Representation
  • Homomorphisms
  • Action and the Orbit-Stabiliser Theorem
  • -Groups and Sylow Theory
  • Products and Abelian Groups
  • Groups of Order 24 Three Examples
  • Series, Jordan-Hölder Theorem and the Extension Problem
  • Nilpotency
  • Solubility
  • Simple Groups of Order Less than 10000
  • Appendices A to E.

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