A Course on Finite Groups

• Main Author: Rose, H.E. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: London : Springer London, 2009.
• Series: Universitext,
• Subjects: Mathematics.; Group theory.; Group Theory and Generalizations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-84882-889-6

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...

Table of Contents:

• The Group Concept
• Elementary Group Properties
• Group Construction and Representation
• Homomorphisms
• Action and the Orbit-Stabiliser Theorem
• p-Groups and Sylow Theory
• Products and Abelian Groups
• Groups of Order 24, Three Examples
• Series, Jordan Hl̲der Theorem and the Extension Problem
• Nilpotency
• Solubility
• Simple Groups of Order Less Than 10000
• Representation and Character Theory
• Character Tables and Theorems of Burnside and Frobenius
• Appendices.