Free group rings / Narain Gupta, editor.

Format:

Book

Author/Creator:

Gupta, Narain.

Contributor:

Gupta, Narain, editor.

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 66

Contemporary mathematics, 0271-4132 ; 66 0271-4132

Language:

English

Subjects (All):

Group rings.

Physical Description:

1 online resource (142 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1987]

Language Note:

English

Summary:

This book deals with some aspects of linear techniques in combinatorial group theory having their origin in the work of Wilhelm Magnus in the 1930s. The central theme is the identification and properties of those subgroups of free groups which are induced by certain ideals of the integral group rings of free groups. This subject has been developed extensively, and the author seeks to present, in contemporary style, a systematic and comprehensive account of some of its developments. Included in the book are a solution of the Fox subgroup problem and an up-to-date development of the dimension subgroup problem. Aimed at graduate students and researchers in combinatorial group theory, the book requires a familiarity with the general terminology of free groups and group rings.

Contents:

1. A faithful matrix representation of ~F/~~ (1. A faithful matrix representation of ~F/nx (x â?? s

2. A faithful matrix representation of zF/x1 ... xn

3. Residual nilpotence of F/F n {1+x 1 ···xn)

4. Identification of F n (1+x1 ···xn) for small n

5. Some applications of the generalized embeddings

6. The problem section

Bibliography.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

Other Format:

Print version: Free group rings.

ISBN:

0-8218-7656-2

0-8218-5072-5