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

Machi, Antonio

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

Inhaltsangabe

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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Von der hinteren Coverseite

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2012
Sprache
Englisch
ISBN 10 
884702420X
ISBN 13 
9788847024205
Einband
Tapa blanda
Anzahl der Seiten
396
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Deutschland

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

Vorgestellte Ausgabe

ISBN 10:  8847024226 ISBN 13:  9788847024229
Verlag: Springer, 2012
Softcover