We prove that commensurizers of two-ended subgroups with at least three coends in one-ended, finitely presented groups are invariant under quasi-isometries. We discuss a variety of applications of this result.
Cite this article
Diane M. Vavrichek, The quasi-isometry invariance of commensurizer subgroups. Groups Geom. Dyn. 7 (2013), no. 1, pp. 205–261DOI 10.4171/GGD/181