Sergey V. Tikhonov

collaborators

2 papers

math.RA2024

Roots of polynomials over division rings

Alina G. Goutor, Sergey V. Tikhonov

In this paper, we study properties of polynomials over division rings. Moreover, we present formulas for finding roots of some polynomials

math.RA2023

Outer forms of type $A_{2}$ with infinite genus

Sergey V. Tikhonov

Let $G$ be an absolutely almost simple algebraic group over a field $K$ . The genus $gen_{K} (G)$ of $G$ is the set of $K$ -isomorphism classes of $K$ -forms $G^{'}$ of $G$ that have…

Roots of polynomials over division rings

Outer forms of type A2​ with infinite genus

Outer forms of type $A_{2}$ with infinite genus