3 papers
math.GR2018
A refined combination theorem for hierarchically hyperbolic groups
Federico Berlai, Bruno Robbio
In this work, we are concerned with hierarchically hyperbolic spaces and hierarchically hyperbolic groups. Our main result is a wide generalization of a combination theorem of Behr…
math.GR2018
Separating cyclic subgroups in graph products of groups
Federico Berlai, Michal Ferov
We prove that the property of being cyclic subgroup separable, that is having all cyclic subgroups closed in the profinite topology, is preserved under forming graph products. Furt…
math.GR2018
Unrestricted wreath products and sofic groups
Goulnara Arzhantseva, Federico Berlai, Martin Finn-Sell +1
We show that the unrestricted wreath product of a sofic group by an amenable group is sofic. We use this result to present an alternative proof of the known fact that any group ext…