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

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 ISBN: 146126443X     ISBN-13: 9781461264439
Publisher: Springer
OUR PRICE: $75.99  

Binding Type: Paperback - See All Available Formats & Editions
Published: September 2012
Qty:

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Additional Information
BISAC Categories:
- Mathematics | Group Theory
- Mathematics | Algebra - General
- Mathematics | Algebra - Abstract
Dewey: 512.2
Series: Graduate Texts in Mathematics
Physical Information: 1.05" H x 6.14" W x 9.21" L (1.60 lbs) 502 pages
 
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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