E. Bunina

collaborators

2 papers

math.GR2026

Sha-rigidity of adjoint Chevalley groups of types $A_{1}$ , $A_{2}$ , $B_{2}$ , $G_{2}$ over commutative rings

Elena Bunina, Vazgen Kirakosyan, Rachel Treskunov

We prove that every locally inner (class-preserving) endomorphism of adjoint Chevalley groups and their elementary subgroups over commutative rings is inner for the root systems A1…

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~ $1$ , constructed by irreducible root systems of rank $> 1$ . We always suppose that for the systems $A_2, B_\el…

Sha-rigidity of adjoint Chevalley groups of types A1​, A2​, B2​, G2​ over commutative rings

Regular bi-interpretability and finite axiomatizability of Chevalley groups

Sha-rigidity of adjoint Chevalley groups of types $A_{1}$ , $A_{2}$ , $B_{2}$ , $G_{2}$ over commutative rings