Artur Tursunbaev

collaborators

3 papers

math.GR2026

A one-sided Auslander--Lyndon theorem

Artur Tursunbaev

We prove that if $F$ is a noncyclic free group, $R ◃ F$ and $S \leq F$ , then the inclusion $R^{'} \leq S^{'}$ implies $R \leq S$ . Thus the normality hypothesis on the second subgrou…

math.GR2026

Subgroups of free groups with the same derived subgroup

Artur Tursunbaev

We prove that if H and K are subgroups of a free group F of arbitrary rank and $H^{'} = K^{'} \neq = 1$ , then $H = K$ . As a consequence, if R is a noncyclic subgroup of a free group F and $R^{'}$ i…

math.AP2026

Truncations for fractional Laplacians

Egor Ignatev, Alexander I. Nazarov, Pavel Nichitenko +1

Let $Ω \subset R^{n}$ be a bounded Lipschitz domain. We prove and widely generalize a conjecture of A.\,I.~Nazarov \cite{Naz21}: for $s \in (1, \frac{3}{2})$ the quadratic form $Q^{\…