The Finite Simple 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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wilson, Robert (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Springer London : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:Graduate Texts in Mathematics, 251
Temas:
Algebra.
Group theory.
Topological groups.
Lie groups.
Group Theory and Generalizations.
Topological Groups and Lie Groups.
Acceso en línea:Texto Completo

MARC

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245 1 4 |a The Finite Simple Groups  |h [electronic resource] /  |c by Robert Wilson. 
250 |a 1st ed. 2009. 
264 1 |a London :  |b Springer London :  |b Imprint: Springer,  |c 2009. 
300 |a XV, 298 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Graduate Texts in Mathematics,  |x 2197-5612 ;  |v 251 
505 0 |a The alternating groups -- The classical groups -- The exceptional groups -- The sporadic groups. 
520 |a 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. 
650 0 |a Algebra. 
650 0 |a Group theory. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 1 4 |a Algebra. 
650 2 4 |a Group Theory and Generalizations. 
650 2 4 |a Topological Groups and Lie Groups. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9781848009899 
776 0 8 |i Printed edition:  |z 9781447125273 
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830 0 |a Graduate Texts in Mathematics,  |x 2197-5612 ;  |v 251 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-1-84800-988-2  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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