E. Bunina

activity

20062023

most citedAutomorphisms of Chevalley groups over commutative rings

28 citations · 50 across the 17 of their papers we have counts for

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15 papers · 1 filter

math.GR2023

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…

math.GR2023

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…

math.GR2023★ 28 cited

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,…

math.GR2023

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.

math.GR2022

Regular bi-interpretability of Chevalley groups over local rings

Elena Bunina

In this paper we prove that if $G (R) = G_{π} (Φ, R)$ $(E (R) = E_{π} (Φ, R))$ is an (elementary) Chevalley group of rank $> 1$ , $R$ is a local ring (with $\frac{1}{2}$ for the root systems ${\…

math.GR2011★ 1 cited

Automorphisms of Chevalley groups of different types over commutative rings

Elena Bunina

In this paper we prove that every automorphism of (elementary) adjoint Chevalley group with root system of rank $> 1$ over a commutative ring (with 1/2 for the systems $A_{2}$ , $F_{4}$ ,…