Diagram Groups

Diagram Groups
Author :
Publisher : American Mathematical Soc.
Total Pages : 130
Release :
ISBN-10 : 9780821806395
ISBN-13 : 0821806394
Rating : 4/5 (394 Downloads)

Book Synopsis Diagram Groups by : Victor Guba

Download or read book Diagram Groups written by Victor Guba and published by American Mathematical Soc.. This book was released on 1997 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diagram groups are groups consisting of spherical diagrams (pictures) over monoid presentations. They can be also defined as fundamental groups of the Squier complexes associated with monoid presentations. The authors show that the class of diagram groups contains some well-known groups, such as the R. Thompson group F. This class is closed under free products, finite direct products, and some other group-theoretical operations. The authors develop combinatorics on diagrams similar to the combinatorics on words. This helps in finding some structure and algorithmic properties of diagram groups. Some of these properties are new even for R. Thompson's group F. In particular, the authors describe the centralizers of elements in F, prove that it has solvable conjugacy problems, etc.


Diagram Groups Related Books

Diagram Groups
Language: en
Pages: 130
Authors: Victor Guba
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Diagram groups are groups consisting of spherical diagrams (pictures) over monoid presentations. They can be also defined as fundamental groups of the Squier co
The Group Fixed by a Family of Injective Endomorphisms of a Free Group
Language: en
Pages: 96
Authors: Warren Dicks
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This monograph contains a proof of the Bestvina-Handel Theorem (for any automorphism of a free group of rank n, the fixed group has rank at most n) that to date
Groups, Difference Sets, and the Monster
Language: en
Pages: 477
Authors: K.T. Arasu
Categories: Mathematics
Type: BOOK - Published: 2011-06-24 - Publisher: Walter de Gruyter

DOWNLOAD EBOOK

This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research
Groups, Languages and Geometry
Language: en
Pages: 150
Authors: Robert H. Gilman
Categories: Computers
Type: BOOK - Published: 1999 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Geometric Group Theory and Computer Science held at Mount Holyoke C
Groups and Computation II
Language: en
Pages: 404
Authors: Larry Finkelstein, William M. Kantor
Categories: Algebra
Type: BOOK - Published: - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

Consists of papers presented at the workshop on Groups and Computation held at DIMACS.