P. Gvozdevsky

activity

20192025

most citedWidth of SL(n,O_S,I)

5 citations · 21 across the 13 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

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…

math.LO2023★ 2 cited

On countable isotypic structures

Pavel Gvozdevsky

We obtain several results concerning the concept of isotypic structures. Namely we prove that any field of finite transcendence degree over a prime subfield is defined by types; th…

math.GR2023

Bounded reduction for Chevalley groups of types $E_{6}$ and $E_{7}$

Pavel Gvozdevsky

We prove that an element from the Chevalley group of type $E_{6}$ or $E_{7}$ over a polynomial ring with coefficients in a small-dimensional ring can be reduced to an element of certai…

Regular bi-interpretability and finite axiomatizability of Chevalley groups

On countable isotypic structures

Bounded reduction for Chevalley groups of types E6​ and E7​

Bounded reduction for Chevalley groups of types $E_{6}$ and $E_{7}$