| 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 Product Type: Paperback - Other Formats Published: September 2012 |
| 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" (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. |