Groups: An Introduction to Ideas and Methods of the Theory of Groups (UNITEXT / La Matematica per il 3+2) - Tapa blanda

Libro 5 de 42: UNITEXT

Machi, Antonio

 
9788847024205: Groups: An Introduction to Ideas and Methods of the Theory of Groups (UNITEXT / La Matematica per il 3+2)
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ISBN 10: 884702420X ISBN 13: 9788847024205
Editorial: Springer, 2012

Sinopsis

Groups are a means of classification, via the group action on a set, but also the object of a classification. How many groups of a given type are there, and how can they be described? Hölder's program for attacking this problem in the case of finite groups is a sort of leitmotiv throughout the text. Infinite groups are also considered, with particular attention to logical and decision problems. Abelian, nilpotent and solvable groups are studied both in the finite and infinite case. Permutation groups and are treated in detail; their relationship with Galois theory is often taken into account. The last two chapters deal with the representation theory of finite group and the cohomology theory of groups; the latter with special emphasis on the extension problem. The sections are followed by exercises; hints to the solution are given, and for most of them a complete solution is provided.

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De la contraportada

Groups are a means of classification, via the group action on a set, but also the object of a classification. How many groups of a given type are there, and how can they be described? Hölder's program for attacking this problem in the case of finite groups is a sort of leitmotiv throughout the text. Infinite groups are also considered, with particular attention to logical and decision problems. Abelian, nilpotent and solvable groups are studied both in the finite and infinite case. Permutation groups and are treated in detail; their relationship with Galois theory is often taken into account. The last two chapters deal with the representation theory of finite group and the cohomology theory of groups; the latter with special emphasis on the extension problem. The sections are followed by exercises; hints to the solution are given, and for most of them a complete solution is provided.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
884702420X
ISBN 13 
9788847024205
Encuadernación
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Número de páginas
396
Contacto del fabricante
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Otras ediciones populares con el mismo título

9788847024229: Groups: An Introduction to Ideas and Methods of the Theory of Groups

Edición Destacada

ISBN 10:  8847024226 ISBN 13:  9788847024229
Editorial: Springer, 2012
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