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

Livre 5 sur 42: UNITEXT

Machi, Antonio

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

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2012
Langue
anglais
ISBN 10 
884702420X
ISBN 13 
9788847024205
Reliure
Broché
Nombre de pages
396
Coordonnées du fabricant
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

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

Edition présentée

ISBN 10 :  8847024226 ISBN 13 :  9788847024229
Editeur : Springer, 2012
Couverture souple