Coarse Geometry of Extended Admissible Groups Explored

This paper investigates the coarse geometric properties of extended admissible groups, a class of groups generalizing those found in 3-manifold groups. The research focuses on quasi-isometry invariance, large-scale nonpositive curvature, quasi-redirecting boundaries, divergence, and subgroup structure. The results extend existing knowledge and answer a previously posed question, contributing to the understanding of these groups' geometric behavior.