A Course in the Theory of Groups

Derek J. S. Robinson

ISBN 10: 0387944613 / ISBN 13: 9780387944616

Published by Springer, Humana, 1995

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9780387944616

Bibliographic Details

• Title: A Course in the Theory of Groups
• Publisher: Springer, Humana
• Publication Date: 1995
• Language: English
• ISBN 10: 0387944613
• ISBN 13: 9780387944616
• Binding: Buch
• Edition: 2nd Edition
• Condition: Neu
• Dimensions: 241W x 160H x 34D millimeters 241 millimeters width by 160 millimeters height by 34 millimeters depth
• Weight: 945 grams

About this title

Synopsis

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.

From the Back Cover

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.