28 citations · 50 across the 17 of their papers we have counts for
17 papers
Sha-rigidity of Chevalley groups over local rings
Elena Bunina, Boris Kunyavskii
We prove that every locally inner endomorphism of a Chevalley group (or its elementary subgroup) over a local ring with an irreducible root system of rank >1 (with 1/2 for the syst…
Automorphisms of a Chevalley group of type G_2 over a commutative ring R with 1/3 generated by the all invertible elements and 2R
Elena Bunina, Maria Vladykina
In this paper we prove that every automorphism of a Chevalley group with the root system G_2 over a commutative ring R with 1/3, generated by all its invertible elements and the id…
The Diophantine problem in Chevalley groups
Elena Bunina, Alexey Miasnikov, Eugene Plotkin
In this paper we study the Diophantine problem in Chevalley groups , where is an indecomposable root system of rank , is an arbitrary commutative ring with $…
Automorphisms of Chevalley groups over commutative rings
Elena Bunina
In this paper we prove that every automorphism of a Chevalley group (or its elementary subgroup) with root system of rank >1 over a commutative ring (with 1/2 for the systems A_2,…
Elementary equivalence of stable linear groups over fields of characteristic 2
Elena Bunina, Alexander Mikhalev, Igor Soloviev
In this paper, we prove a criterion of elementary equivalence of stable linear groups over fields of characteristic two.
Regular bi-interpretability of Chevalley groups over local rings
Elena Bunina
In this paper we prove that if is an (elementary) Chevalley group of rank , is a local ring (with for the root systems ${\…