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

Aschbacher, Michael

Softcover

ISBN 10: 0521458269 ISBN 13: 9780521458269

Publisher: Cambridge University Press, 1994

Synopsis

During the last 30 years the theory of finite groups has developed dramatically. Our understanding of finite simple groups has been enhanced by their classification. Many questions about arbitrary groups can be reduced to similar questions about simple groups and applications of the theory are beginning to appear in other branches of mathematics. The foundations of the theory of finite groups are developed in this book. Unifying themes include the Classification Theory 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.

About this title

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

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1994
• Language: English
• ISBN 10: 0521458269
• ISBN 13: 9780521458269
• Binding: Paperback
• Edition number: 1
• Number of pages: 288