activity
20162022
most citedSimple groups with infinite verbal width and the same positive theory as free groups

2 citations · 5 across the 8 of their papers we have counts for

collaborators
Showing 2018Show all

3 papers · 1 filter

math.GR2018

Diophantine problems in solvable groups

Albert Garreta, Alexei Miasnikov, Denis Ovchinnikov

We study the Diophantine problem (decidability of finite systems of equations) in different classes of finitely generated solvable groups (nilpotent, polycyclic, metabelian, free s…

math.RA2018

Studying the Diophantine problem in finitely generated rings and algebras via bilinear maps

Albert Garreta, Alexei Miasnikov, Denis Ovchinnikov

We study systems of polynomial equations in several classes of finitely generated rings and algebras. For each ring (or algebra) in one of these classes we obtain an interpreta…

math.GR2018

Engel elements in some fractal groups

Gustavo A. Fernández-Alcober, Albert Garreta, Marialaura Noce

Let be a prime and let be a subgroup of a Sylow pro- subgroup of the group of automorphisms of the -adic tree. We prove that if is fractal and $|G':\mathrm{st}_G(…