JSJ decompositions of Coxeter groups over FA subgroups
Group Theory
2009-11-02 v1
Abstract
A group G has property FA if G fixes a point of every tree on which G acts without inversions. We prove that every Coxeter system of finite rank has a visual JSJ decomposition over subgroups with property FA. As an application, we reduce the twist conjecture to Coxeter systems that are indecomposable with respect to amalgamated products over visual subgroups with property FA.
Keywords
Cite
@article{arxiv.0910.5732,
title = {JSJ decompositions of Coxeter groups over FA subgroups},
author = {John Ratcliffe and Steven Tschantz},
journal= {arXiv preprint arXiv:0910.5732},
year = {2009}
}
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17 pages