Quasi-Isometry Invariance of Group Splittings over Coarse Poincaré Duality Groups

Alexander Margolis

We show that if $G$ is a group of type $F{P}_{n+1}^{{\mathbb{Z}}_2}$ that is coarsely separated into three essential, coarse disjoint, coarse complementary components by a coarse $PD_n…