Commensurability for certain right-angled Coxeter groups and geometric amalgams of free groups
Commensurability for certain right-angled Coxeter groups and geometric amalgams of free groups
We give explicit necessary and sufficient conditions for the abstract commensurability of certain families of 1-ended, hyperbolic groups, namely right-angled Coxeter groups defined by generalized \Theta -graphs and cycles of generalized \Theta -graphs, and geometric amalgams of free groups whose JSJ graphs are trees of diameter \leq 4 . We …