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A Course in the Theory of Groups 1996 Edition
Contributor(s): Robinson, Derek J. S. (Author)

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 ISBN: 0387944613     ISBN-13: 9780387944616
Publisher: Springer
OUR PRICE: $104.49  

Binding Type: Hardcover - See All Available Formats & Editions
Published: October 1995
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Annotation: A Course in the Theory of Groups is a comprehensive introduction to general group theory. Presupposing only a basic knowledge of abstract algebra, it introduces the reader to the different branches of group theory and their principal accomplishments. The book stresses the unity of group theory and draws attention to connections with other areas of algebra. Numerous exercises are given which supplement the material in the text.

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Additional Information
BISAC Categories:
- Mathematics | Group Theory
- Mathematics | Algebra - General
Dewey: 512.2
LCCN: 95004025
Series: Graduate Texts in Mathematics
Physical Information: 1.08" H x 6.32" W x 9.53" L (1.90 lbs) 502 pages
Features: Bibliography, Illustrated, Index
 
Descriptions, Reviews, Etc.
Publisher Description:
A Course in the Theory of Groups is a comprehensive introduction to the theory of groups - finite and infinite, commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces the reader to the different branches of group theory and to its principal accomplishments. While stressing the unity of group theory, the book also draws attention to connections with other areas of algebra such as ring theory and homological algebra.
This new edition has been updated at various points, some proofs have been improved, and lastly about thirty additional exercises are included. There are three main additions to the book. In the chapter on group extensions an exposition of Schreier's concrete approach via factor sets is given before the introduction of covering groups. This seems to be desirable on pedagogical grounds. Then S. Thomas's elegant proof of the automorphism tower theorem is included in the section on complete groups. Finally an elementary counterexample to the Burnside problem due to N.D. Gupta has been added in the chapter on finiteness properties.
 
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