Finite Group Theory (Cambridge Studies in Advanced Mathematics, Series Number 10) - Softcover

Aschbacher, M.

Softcover

ISBN 10: 0521786754 ISBN 13: 9780521786751

Publisher: Cambridge University Press, 2010

Synopsis

This second edition develops the foundations of finite group theory. For students already exposed to a first course in algebra, it serves as a text for a course on finite groups. For the reader with some mathematical sophistication but limited knowledge of finite group theory, the book supplies the basic background necessary to begin to read journal articles in the field. It also provides the specialist in finite group theory with a reference on the foundations of the subject. Unifying themes include the Classification Theorem and the classical linear groups. Lie theory appears in chapters on Coxeter groups, root systems, buildings, and Tits systems. This second edition has been considerably improved with a completely rewritten Chapter 15 considering the 2-Signalizer Functor Theorem, and the addition of an appendix containing solutions to exercises.

About this title

Book Description:

The foundations of the theory of finite groups are developed in this book. Unifying themes include the Classification Theorem and the classical linear groups. Lie theory appears in chapters on Coxeter groups, root systems, buildings and Tits systems. There is a new proof of the Solvable Signalizer Functor theorem and a brief outline of the proof of the Classification theorem itself.For students familiar with basic abstract algebra this book will serve as a text for a course in finite group theory. Finite Group Theory provides the basic background necessary to understand the research literature and apply the theory. It will become the standard basic reference.

Review:

'I consider this book as an extremely valuable source and help for anyone interested in a serious study of finite groups.' U. Dempwolff, Zentralblatt MATH

About this edition

• Publisher: Cambridge University Press
• Publication date: 2010
• ISBN 10: 0521786754
• ISBN 13: 9780521786751
• Binding: Paperback
• Edition number: 2
• Number of pages: 318