Bowditch's JSJ tree and the quasi‐isometry classification of certain Coxeter groups
Bowditch's JSJ tree and the quasi‐isometry classification of certain Coxeter groups
Bowditch's JSJ tree for splittings over 2-ended subgroups is a quasi-isometry invariant for 1-ended hyperbolic groups which are not cocompact Fuchsian [Bowditch, Acta Math. 180 (1998) 145–186]. Our main result gives an explicit, computable ‘visual’ construction of this tree for certain hyperbolic right-angled Coxeter groups. As an application of our …