The finite simple groups

Robert A. Wilson

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.

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[目次]

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

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この本の情報

書名 The finite simple groups
著作者等 Wilson, Robert
Axler, Sheldon
Ribet, Kenneth
Parker, Christopher W.
シリーズ名 Graduate texts in mathematics
出版元 Springer
刊行年月 c2009
ページ数 xv, 298 p.
大きさ 25 cm
ISBN 9781848009875
NCID BC14659324
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言語 英語
出版国 イギリス
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