ENGLISH

Finite group theory

By Michael Aschbacher

Book information

Publisher
Cambridge University Press
Year
1993
ISBN
9780521458269, 0521458269
LCC
QA177 .A82 1993
Open Library ID
OL1226226M
Language
english
Format
DJVU
Filesize
13 MB (13651511 bytes)
Series
Cambridge studies in advanced mathematics 10
Edition
1st pbk. ed
Pages
142\142
Time added
2009-08-06 05:14:26

Description

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.

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