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.

GET 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
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

GET 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
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.

GET 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
Functional Analysis and Related Topics, 1991
Language: en
Pages: 425
Authors: Hikosaburo Komatsu
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

GET EBOOK

In these proceedings of the international conference held in Kyoto in memoryof the late Professor K saku Yosida, twenty six invited speakers display in their ma
Combinatorial and Geometric Group Theory
Language: en
Pages: 290
Authors: Sean Cleary
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

GET EBOOK

This volume grew out of two AMS conferences held at Columbia University (New York, NY) and the Stevens Institute of Technology (Hoboken, NJ) and presents articl