6 citations · 14 across the 7 of their papers we have counts for
9 papers · 1 filter
A new family of sofic one-relator groups
Federico Berlai
We provide an infinite family of sofic one-relator groups that are not residually solvable nor residually finite. The proof is essentially different from the one in [1], as it does…
On the non-discreteness of automorphism groups of Cayley graphs of Coxeter groups
Federico Berlai, Michal Ferov
In this work we characterise Cayley graphs of Coxeter groups with respect to the standard generating set that admit uncountable vertex stabilisers. As a corollary, we fully identif…
Linearity of graph products
Federico Berlai, Javier de la Nuez González
In this work we prove that, given a simplicial graph and a family of linear groups over a domain , the graph product is linear over $R[\underlin…
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…
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…
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…
Residual properties of graph products of groups
Federico Berlai, Michal Ferov
We prove that the class of residually C groups is closed under taking graph products, provided that C is closed under taking subgroups, finite direct products and that free-by-C gr…
Groups satisfying Kaplansky's stable finiteness conjecture
Federico Berlai
We prove that every {finitely generated residually finite}-by-sofic group satisfies Kaplansky's direct and stable finiteness conjectures with respect to all noetherian rings. We us…
Residual properties of free products
Federico Berlai
Let C be a class of groups. We give sufficient conditions ensuring that a free product of residually C groups is again residually C, and analogous conditions are given for locally…