When does a right-angled Artin group split over $\mathbb{Z}$?
Group Theory
2014-08-04 v2
Abstract
We show that a right-angled Artin group, defined by a graph that has at least three vertices, does not split over an infinite cyclic subgroup if and only if is biconnected. Further, we compute JSJ--decompositions of 1--ended right-angled Artin groups over infinite cyclic subgroups.
Keywords
Cite
@article{arxiv.1403.1842,
title = {When does a right-angled Artin group split over $\mathbb{Z}$?},
author = {Matt Clay},
journal= {arXiv preprint arXiv:1403.1842},
year = {2014}
}
Comments
v2: fixed errors, improved exposition; v1: 14 pages