Quasi-isometric rigidity of extended admissible groups

2024/01/08 by Margolis, Alex, Nguyen, Hoang Thanh
#20F65 #20F67 #57M50 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2401.03635

Abstract

We introduce the class of extended admissible groups, which include both fundamental groups of non-geometric 3-manifolds and Croke-Kleiner admissible groups. We show that the class of extended admissible groups is quasi-isometrically rigid.

Related

• Quasi-isometric rigidity of three manifold groups
• Quasi-isometry rigidity of groups
• Quasi-isometric rigidity of piecewise geometric manifolds
• Large-scale conformal rigidity in dimension three
• Large scale geometry of certain solvable groups