13 citations · 34 across the 13 of their papers we have counts for
14 papers
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…
Effective Hilbert's Irreducibility Theorem for global fields
Marcelo Paredes, Román Sasyk
We prove an effective form of Hilbert's irreducibility theorem for polynomials over a global field . More precisely, we give effective bounds for the number of specializations $…
Uniform bounds for the number of rational points on varieties over global fields
Marcelo Paredes, Román Sasyk
We extend the work of Salberger; Walsh; Castryck, Cluckers, Dittmann and Nguyen; and Vermeulen to prove the uniform dimension growth conjecture of Heath-Brown and Serre for varieti…
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…
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…
A note on the classification of Gamma factors
Román Sasyk
One of the earliest invariants introduced in the study of finite von Neumann algebras is the property Gamma of Murray and von Neumann. In this note we prove that it is not possible…