Elena Bunina

activity

20062026

most citedIsotypical equivalence of periodic Abelian groups

2 citations · 2 across the 6 of their papers we have counts for

collaborators

11 papers

math.GR2026

Automorphisms of Twisted Chevalley Groups over Commutative Rings

Elena I. Bunina, Deep H. Makadiya

We classify all abstract automorphisms of the elementary and full twisted Chevalley groups of types $^{2} A_{ℓ}$ ( $ℓ \geq 3$ ), $^{2} D_{ℓ}$ ( $ℓ \geq 4$ ), $^{2} E_{6}$ , and $^{3} D_{4}$ …

math.GR2026

Failure of direct finiteness for group algebras in every odd characteristic

Elena I. Bunina, Winston Lee, Alexei Miasnikov +1

For every odd prime $p$ , we construct a finitely presented group $G_{p}$ and elements $a, b, c \in F_{p} [G_{p}]$ such that $ab = 1$ , $a c = 0$ , and $c \neq = 0$ . Thus $F_{p} [G_{p}]$ , and…

math.GR2026

Automorphisms of triality groups over local rings

Elena Bunina, Avi Berezovskiy, Deep Makadiya

Let $R$ be a nonzero commutative local ring with $2, 3 \in R^{\times}$ , and let $ρ\in\Aut(R)$ satisfy $ρ^3=\id$. We classify abstract automorphisms of the elementary and full triality…

math.GR2026

Automorphisms of twisted Chevalley groups of type $^{2} E_{6}$ over local rings

Elena I. Bunina, Deep H. Makadiya

We classify abstract automorphisms of the elementary and full twisted Chevalley groups of type $^{2} E_{6}$ over commutative local rings with involution and $2$ invertible, for both i…

math.GR2026

Automorphisms of Twisted Chevalley Groups of type $^{2} A_{3}$ and $^{2} A_{4}$ over Local Rings

Elena I. Bunina, Deep H. Makadiya

We give a complete classification of the automorphisms of twisted Chevalley groups of types $^{2} A_{3}$ and $^{2} A_{4}$ , and of their elementary subgroups, over commutative local rings…

math.GR2026

Automorphisms of Twisted Chevalley Groups of type $^{2} D_{ℓ} (ℓ \geq 4)$ over Local Rings

Elena I. Bunina, Deep H. Makadiya

We prove that all automorphisms of twisted Chevalley groups of type $^{2} D_{ℓ}$ , $ℓ \geq 4$ , and their elementary subgroups over commutative local rings with $1/2$ are standard. M…

math.GR2026

Automorphisms of Twisted Chevalley Groups of type $^{2} A_{ℓ} (ℓ \geq 5)$ over Local Rings

Elena I. Bunina, Deep H. Makadiya

This paper is the first in a series devoted to the classification of automorphisms and isomorphisms of twisted Chevalley groups over commutative rings. In the present paper, we pro…

math.GR2024

Elementary equivalence of endomorphism rings and automorphism groups of periodic Abelian groups

Elena Bunina

In this paper, we prove that the endomorphism rings End A and End A' of periodic infinite Abelian groups A and A' are elementarily equivalent if and only if the endomorphism rings…

math.GR2024

Types in torsion free Abelian groups

Elena Bunina

In this paper we study (logical) types and isotypical equivalence of torsion free Abelian groups. We describe all possible types of elements and standard 2-tuples of elements in th…

math.GR2024★ 2 cited

Isotypical equivalence of periodic Abelian groups

Elena Bunina

In this paper we give invariants that characterize isotypically equivalent Abelian periodic groups. Also, we describe types of standart tuples of elements in these groups. As the p…

math.RA2006

Elementary equivalence of the semigroup of invertible matrices with nonnegative elements

Elena I. Bunina, Alexandr V. Mikhalev

In this paper, we prove that the semigroups of invertible matrices with nonnegative elements over linearly oredered associative rings are elementarily equivalent if and only if the…

Automorphisms of Twisted Chevalley Groups over Commutative Rings

Failure of direct finiteness for group algebras in every odd characteristic

Automorphisms of triality groups over local rings

Automorphisms of twisted Chevalley groups of type 2E6​ over local rings

Automorphisms of Twisted Chevalley Groups of type 2A3​ and 2A4​ over Local Rings

Automorphisms of Twisted Chevalley Groups of type 2Dℓ​ (ℓ≥4) over Local Rings

Automorphisms of Twisted Chevalley Groups of type 2Aℓ​ (ℓ≥5) over Local Rings

Elementary equivalence of endomorphism rings and automorphism groups of periodic Abelian groups

Types in torsion free Abelian groups

Isotypical equivalence of periodic Abelian groups

Elementary equivalence of the semigroup of invertible matrices with nonnegative elements

Automorphisms of twisted Chevalley groups of type $^{2} E_{6}$ over local rings

Automorphisms of Twisted Chevalley Groups of type $^{2} A_{3}$ and $^{2} A_{4}$ over Local Rings

Automorphisms of Twisted Chevalley Groups of type $^{2} D_{ℓ} (ℓ \geq 4)$ over Local Rings

Automorphisms of Twisted Chevalley Groups of type $^{2} A_{ℓ} (ℓ \geq 5)$ over Local Rings