149 citations · 595 across the 59 of their papers we have counts for
4 papers · 2 filters
Embedding relatively hyperbolic groups in products of trees
John M. Mackay, Alessandro Sisto
We show that a relatively hyperbolic group quasi-isometrically embeds in a product of finitely many trees if the peripheral subgroups do, and we provide an estimate on the minimal…
Tree-graded asymptotic cones
Alessandro Sisto
We study the bilipschitz equivalence type of tree-graded spaces, showing that asymptotic cones of relatively hyperbolic groups (resp. asymptotic cones of groups containing a cut-po…
The fundamental group of a locally finite graph with ends: a hyperfinite approach
Isaac Goldbring, Alessandro Sisto
The end compactification |Γ| of the locally finite graph Γis the union of the graph and its ends, endowed with a suitable topology. We show that π_1(|Γ|) embeds into a nonstandard…
Virtual Amalgamation of Relatively Quasiconvex Subgroups
Eduardo Martinez-Pedroza, Alessandro Sisto
For relatively hyperbolic groups, we investigate conditions guaranteeing that the subgroup generated by two relatively quasiconvex subgroups and is relatively quasiconv…