26 citations · 62 across the 16 of their papers we have counts for
5 papers · 1 filter
Degree of commutativity of infinite groups
Yago Antolín, Armando Martino, Enric Ventura
We prove that, in a finitely generated residually finite group of subexponential growth, the proportion of commuting pairs is positive if and only if the group is virtually abelian…
Farrell-Jones via Dehn fillings
Yago Antolín, Rémi Coulon, Giovanni Gandini
Following the approach of Dahmani, Guirardel and Osin, we extend the group theoretical Dehn filling theorem to show that the pre-images of infinite order elements have a certain st…
Formal conjugacy growth in acylindrically hyperbolic groups
Yago Antolín, Laura Ciobanu
Rivin conjectured that the conjugacy growth series of a hyperbolic group is rational if and only if the group is virtually cyclic. Ciobanu, Hermiller, Holt and Rees proved that the…
Permute and conjugate: the conjugacy problem in relatively hyperbolic groups
Yago Antolín, Andrew Sale
Modelled on efficient algorithms for solving the conjugacy problem in hyperbolic groups, we define and study the permutation conjugacy length function. This function estimates the…
Left relatively convex subgroups
Yago Antolín, Warren Dicks, Zoran Sunic
Let G be a group and H be a subgroup of G. We say that H is left relatively convex in G if the left G-set G/H has at least one G-invariant order; when G is left orderable, this hol…