Groups: Introduction to Ideas and Methods of the Theory of Groups Paperback - 2012 - 2012th Edition
by Mach�, Antonio
- New
- Paperback
Description
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Details
- Title Groups: Introduction to Ideas and Methods of the Theory of Groups
- Author Mach�, Antonio
- Binding Paperback
- Edition number 2012th
- Edition 2012
- Condition New
- Pages 371
- Language ENG
- Publisher Springer Verlag
- Date 2012
- Bookseller's Inventory # __884702420X
- ISBN 9788847024205
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Themes
- Aspects (Academic): Science/Technology Aspects
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From the rear cover
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? Hlder'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.