A finitely presented group with two non-homeomorphic asymptotic cones

Abstract

We give an example of a finitely presented group $G$ with two non-${\pi }_1$-equivalent asymptotic cones.

6 pages

References in corpus (3)

• Explicit constructions of universal R-trees and asymptotic geometry of hyperbolic spaces
• Groups with quadratic-non-quadratic Dehn functions
• Groups with small Dehn functions and bipartite chord diagrams