3 papers
math.GR2025
Abstract isomorphisms of isotropic root graded groups over rings
Pavel Gvozdevsky
The celebrated Borel--Tits theorem provides a classification of abstract isomorphisms between (simple) isotropic groups over fields, showing that such isomorphisms arise from field…
math.GR2024
Verbal width in arithmetic Chevalley groups
Pavel Gvozdevsky
We prove that the width of any word in a simply connected Chevalley group of rank at least 2 over the ring that is a localisation of the ring of integers in a number field is bound…
math.GR2023
Regular bi-interpretability and finite axiomatizability of Chevalley groups
Elena Bunina, Pavel Gvozdevsky
In this paper we consider Chevalley groups over commutative rings with~, constructed by irreducible root systems of rank . We always suppose that for the systems $A_2, B_\el…