JSJ decompositions of Coxeter groups over FA subgroups

Details JSJ decompositions of Coxeter groups over FA subgroups JSJ decompositions of Coxeter groups over FA subgroups

2009-10-29

arxiv.org/abs/0910.5732v1

Mathematics

Group Theory

17 pages

Scientific paper

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.

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