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Theory of Groups, Vol 2
 
Theory of Groups, Vol 2
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-3477-0
Product Code:  CHEL/109.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
Theory of Groups, Vol 2
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Theory of Groups, Vol 2
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-3477-0
Product Code:  CHEL/109.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
  • Book Details
     
     
    AMS Chelsea Publishing
    Volume: 1091960; 308 pp
    MSC: Primary 20

    Translated from the second Russian edition and with added notes by K.A. Hirsch. Teoriya Grupp by Kurosh was widely acclaimed, in its first edition, as the first modern text on the general theory of groups, with the major emphasis on infinite groups. The decade that followed brought about a remarkable growth and maturity in the theory of groups, so that this second edition, in English translation, represents a complete rewriting of the first edition. The book can be used as a beginning text, the only requirement being some mathematical maturity and a knowledge of the elements of transfinite numbers.

    Many new sections were added to this second edition, and many old ones were completely revised: The theory of abelian groups was significantly revised; many significant additions were made to the section on the theory of free groups and free products; an entire chapter is devoted to group extensions; and the deep changes in the theory of solvable and nilpotent groups—one of the large and rich branches of the theory of groups—are covered in this work. Each volume concludes with Editor's Notes and a Bibliography.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1091960; 308 pp
MSC: Primary 20

Translated from the second Russian edition and with added notes by K.A. Hirsch. Teoriya Grupp by Kurosh was widely acclaimed, in its first edition, as the first modern text on the general theory of groups, with the major emphasis on infinite groups. The decade that followed brought about a remarkable growth and maturity in the theory of groups, so that this second edition, in English translation, represents a complete rewriting of the first edition. The book can be used as a beginning text, the only requirement being some mathematical maturity and a knowledge of the elements of transfinite numbers.

Many new sections were added to this second edition, and many old ones were completely revised: The theory of abelian groups was significantly revised; many significant additions were made to the section on the theory of free groups and free products; an entire chapter is devoted to group extensions; and the deep changes in the theory of solvable and nilpotent groups—one of the large and rich branches of the theory of groups—are covered in this work. Each volume concludes with Editor's Notes and a Bibliography.

Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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