groups are almost convex and have a sub-cubic Dehn function.
Limit groups for relatively hyperbolic groups. II: Makanin-Razborov diagrams.
Limits of (certain) CAT(0) groups. I: Compactification.
Limits of relatively hyperbolic groups and Lyndon’s completions
We describe finitely generated groups universally equivalent (with constants from in the language) to a given torsion-free relatively hyperbolic group with free abelian parabolics. It turns out that, as in the free group case, the group embeds into the Lyndon’s completion of the group , or, equivalently, embeds into a group obtained from by finitely many extensions of centralizers. Conversely, every subgroup of containing is universally equivalent to . Since finitely generated...