26 citations · 62 across the 16 of their papers we have counts for
19 papers
Geodesic Growth of some 3-dimensional RACGs
Yago Antolín, Islam Foniqi
We give explicit formulas for the geodesic growth series of a Right Angled Coxeter Group (RACG) based on a link-regular graph that is 4-clique free, i.e. without tetrahedrons
Regular left-orders on groups
Yago Antolín, Cristóbal Rivas, Hang Lu Su
A regular left-order on finitely generated group is a total, left-multiplication invariant order on whose corresponding positive cone is the image of a regular language ove…
Parabolic subgroups acting on the additional length graph
Yago Antolín, María Cumplido
Let be an irreducible Artin--Tits group of spherical type. We show that periodic elements of and the elements preserving some parabolic subgroup of …
Transverse properties of parabolic subgroups of Garside groups
Yago Antolín, Luis Paris
Let be a Garside group endowed with the generating set of non-trivial simple elements, and let be a parabolic subgroup of . We determine a transversal …
The space of relative orders and a generalization of Morris indicability theorem
Yago Antolín, Cristóbal Rivas
We introduce the space of relative orders on a group and show that it is compact whenever the group is finitely generated. We use this to show that if is a finitely generated g…
Counting subgraphs in fftp graphs with symmetry
Yago Antolín
Following ideas that go back to Cannon, we show the rationality of various generating functions of growth sequences counting embeddings of convex subgraphs in locally-finite, verte…
Intersection properties of stable subgroups and bounded cohomology
Yago Antolín, Mahan Mj, Alessandro Sisto +1
We show that a finite collection of stable subgroups of a finitely generated group has finite height, finite width and bounded packing. We then use knowledge about intersections of…
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…
Finite generating sets of relatively hyperbolic groups and applications to geodesic languages
Yago Antolín, Laura Ciobanu
Given a finitely generated relatively hyperbolic group , we construct a finite generating set of such that has the `falsification by fellow traveler property' pr…
A note on the Farrell-Jones conjecture for relatively hyperbolic groups
Yago Antolín, Giovanni Gandini
For a group G relatively hyperbolic to a family of residually finite groups satisfying the Farrell-Jones conjecture, we reduce the solution of the Farrell-Jones conjecture for G to…
The Haagerup property is stable under graph products
Yago Antolín, Dennis Dreesen
The Haagerup property, which is a strong converse of Kazhdan's property , has translations and applications in various fields of mathematics such as representation theory, har…
Conjugacy in Houghton's Groups
Yago Antolín, José Burillo, Armando Martino
Let . Houghton's group is the group of permutations of , that eventually act as a translation in each copy of .…
Tits alternatives for graph products
Yago Antolín, Ashot Minasyan
We discuss various types of Tits Alternative for subgroups of graph products of groups, and prove that, under some natural conditions, a graph product of groups satisfies a given f…
On the asymptotics of visible elements and homogeneous equations in surface groups
Yago Antolín, Laura Ciobanu, Noèlia Viles
Let be a group whose abelianization is , An element of is called visible if its image in the abelianization is visible, that is, the greatest common diviso…
On the local-indicability Cohen-Lyndon Theorem
Yago Antolín, Warren Dicks, Peter A. Linnell
For a group and a subset of , we let denote the set , and when is a free-generating set of , we say that the set ${}^H…