A Course in the Theory of Groups (Graduate Texts in Mathematics, 80, Band 80) - Hardcover

Robinson, Derek J.S.

 
9780387944616: A Course in the Theory of Groups (Graduate Texts in Mathematics, 80, Band 80)
Hardcover
ISBN 10: 0387944613 ISBN 13: 9780387944616
Verlag: Springer, 1995

Inhaltsangabe

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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Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
1995
Sprache
Englisch
ISBN 10 
0387944613
ISBN 13 
9780387944616
Einband
Gebundene Ausgabe
Auflage
2
Anzahl der Seiten
519
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland

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Vorgestellte Ausgabe

ISBN 10:  0387940928 ISBN 13:  9780387940922
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Softcover