A Course on Finite Groups

• Main Author: Rose, H.E (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2009.
• Series: Universitext,
• Subjects: Mathematics.; Algebra.; Group theory.; Science education.; Science Education.; Group Theory and Generalizations.

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:

• 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.