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Book Cover
Author Wilson, Robert, 1958-

Title The finite simple groups / Robert A. Wilson
Published London ; New York : Springer, ©2009


Description 1 online resource (xv, 298 pages) : illustrations
Series Graduate texts in mathematics, 0072-5285 ; 251
Graduate texts in mathematics ; 251.
Contents Introduction -- The alternating groups -- The classical groups -- The exceptional groups -- The sporadic groups
Summary 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
Bibliography Includes bibliographical references (pages 283-290) and index
Notes Print version record
Subject Finite simple groups.
Finite simple groups
Form Electronic book
ISBN 9781848009882