Groups : An Introduction to Ideas and Methods of the Theory of Groups
Book Details
Format
Paperback / Softback
Book Series
UNITEXT
ISBN-10
884702420X
ISBN-13
9788847024205
Publisher
Springer Verlag
Imprint
Springer Verlag
Country of Manufacture
IT
Country of Publication
GB
Publication Date
Jan 23rd, 2012
Print length
371 Pages
Weight
740 grams
Dimensions
23.40 x 16.20 x 2.10 cms
Product Classification:
Groups & group theoryGroups and group theory
Ksh 9,900.00
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Groups are a means of classification, via the group action on a set, but also the object of a classification. Hölder’s program for attacking this problem in the case of finite groups is a sort of leitmotiv throughout the text. The last two chapters deal with the representation theory of finite group and the cohomology theory of groups;
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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