Kniha Groups Antonio Mach

Groups

An Introduction to Ideas and Methods of the Theory of Groups

Autor: Antonio Mach
Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer Verlag
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
1 342
Groups are a means of classification, via the group action on a set, but also the object of a classi...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2012
Stránek
371
EAN
9788847024205
ISBN
884702420X
Enbook ID
01967088
Vydavatel
Hmotnost
740
Rozměry
162 x 234 x 21

Kompletní popis

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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