2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.GR2020
Metabelian groups: full-rank presentations, randomness and Diophantine problems
Albert Garreta, Leire Legarreta, Alexei Miasnikov +1
We study metabelian groups given by full rank finite presentations in the variety of metabelian groups. We prove that …
math.GR2019★ 2 cited
Simple groups with infinite verbal width and the same positive theory as free groups
Montserrat Casals-Ruiz, Albert Garreta, Ilya Kazachkov +1
In this paper we show that there exists an uncountable family of finitely generated simple groups with the same positive theory as any non-abelian free group. In particular, these…
math.GR2019
On the positive theory of groups acting on trees
Montserrat Casals-Ruiz, Albert Garreta, Javier de la Nuez González
We study the positive theory of groups acting on trees and show that under the presence of weak small cancellation elements, the positive theory of the group is trivial, i.e. coinc…