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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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Rose, H.E (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: London : Springer London : Imprint: Springer, 2009.
Edition:1st ed. 2009.
Series:Universitext,
Subjects:
Online Access:Texto Completo
Table of Contents:
  • 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.