4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.GR2026
The word problem in verbal products of groups
Javier Brude, Román Sasyk
We prove that nilpotent and metabelian products of groups with decidable word problem have decidable word problem. In contrast, we exhibit families of groups with decidable word pr…
math.GR2020
Metric approximations of unrestricted wreath products when the acting group is amenable
Javier Brude, Román Sasyk
We give a simple and unified proof showing that the unrestricted wreath product of a weakly sofic, sofic, linear sofic, or hyperlinear group by an amenable group is weakly sofic, s…
math.GR2019★ 4 cited
Permanence properties of verbal products and verbal wreath products of groups
Javier Brude, Román Sasyk
By means of analyzing the notion of verbal products of groups, we show that soficity, hyperlinearity, amenability, the Haagerup property, the Kazhdan's property (T) and exactness a…