The Finite Simple Groups / Edition 1

The Finite Simple Groups / Edition 1

by Robert Wilson, Christopher W. Parker, Kenneth A. Ribet
     
 

ISBN-10: 1848009879

ISBN-13: 9781848009875

Pub. Date: 12/14/2009

Publisher: Springer London

The finite simple groups are the building blocks from which all the finite groups are made and as such they are objects of fundamental importance throughout mathematics. The classification of the finite simple groups was one of the great mathematical achievements of the twentieth century, yet these groups remain difficult to study which hinders applications of the…  See more details below

Overview

The finite simple groups are the building blocks from which all the finite groups are made and as such they are objects of fundamental importance throughout mathematics. The classification of the finite simple groups was one of the great mathematical achievements of the twentieth century, yet these groups remain difficult to study which hinders applications of the classification.

This textbook brings the finite simple groups to life by giving concrete constructions of most of them, sufficient to illuminate their structure and permit real calculations both in the groups themselves and in the underlying geometrical or algebraic structures. This is the first time that all the finite simple groups have been treated together in this way and the book points out their connections, for example between exceptional behaviour of generic groups and the existence of sporadic groups, and discusses a number of new approaches to some of the groups. Many exercises of varying difficulty are provided.

The Finite Simple Groups is aimed at advanced undergraduate and graduate students in algebra as well as professional mathematicians and scientists who use groups and want to apply the knowledge which the classification has given us. The main prerequisite is an undergraduate course in group theory up to the level of Sylow’s theorems.

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Product Details

ISBN-13:
9781848009875
Publisher:
Springer London
Publication date:
12/14/2009
Series:
Graduate Texts in Mathematics Series, #251
Edition description:
2009
Pages:
298
Product dimensions:
6.40(w) x 9.30(h) x 1.10(d)

Table of Contents

Introduction.- The alternating groups.- The classical groups.- The exceptional groups.- The sporadic groups.

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