Groups : An Introduction to Ideas and Methods of the Theory of Groups
Language: English
Published by Springer, 2012
Series: Book 5 of 42 - UNITEXT
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 82.62
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Druck auf Anfrage Neuware - Printed after ordering - 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.
Seller Inventory # 9788847024205
- Title
- Groups : An Introduction to Ideas and Methods of the Theory of Groups
- Author
- Antonio Machì
- Publisher
- Springer
- Publication year
- 2012
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 884702420X
- ISBN 13
- 9788847024205
- Item weight
- 598 grams
- Dimensions
- 235x155x22 mm
- Series
- Book 5 of 42: UNITEXT
"Synopsis" may belong to another edition of this title.
From the Back 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? 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.
"About the title" may belong to another edition of this title.
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