On the arboreal structure of right-angled Artin groups
Group Theory
2009-09-23 v1
Abstract
The present article continues the study of median groups initiated in [6, 9, 10]. Some classes of median groups are introduced and investigated with a stress upon the class of the so called A-groups which contains as remarkable subclasses the lattice ordered groups and the right-angled Artin groups. Some general results concerning A-groups are applied to a systematic study of the arboreal structure of right-angled Artin groups. Structure theorems for foldings, directions, quasidirections and centralizers are proved.
Keywords
Cite
@article{arxiv.0909.4027,
title = {On the arboreal structure of right-angled Artin groups},
author = {Şerban A. Basarab},
journal= {arXiv preprint arXiv:0909.4027},
year = {2009}
}
Comments
updated version of preprint IMAR no. 11 (1997). 42 pp