**AMS Chelsea Publishing**

Volume: 107;
1955;
272 pp;
Hardcover

MSC: Primary 20;
**Print ISBN: 978-0-8284-0107-4
Product Code: CHEL/107**

List Price: $47.00

Individual Member Price: $35.58

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# Theory of Groups, Volume 1: Second English Edition

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*A. G. Kurosh*

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, an 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.