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＜電子ブック＞
The Finite Simple Groups / by Robert Wilson
(Graduate Texts in Mathematics. ISSN:21975612 ; 251)

版	1st ed. 2009.
出版者	(London : Springer London : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XV, 298 p : online resource
著者標目	*Wilson, Robert author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Group theory LCSH:Topological groups LCSH:Lie groups FREE:Algebra FREE:Group Theory and Generalizations FREE:Topological Groups and Lie Groups
一般注記	The alternating groups -- The classical groups -- The exceptional groups -- The sporadic groups 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 HTTP:URL=https://doi.org/10.1007/978-1-84800-988-2

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