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 2023 · math.GRShow all

2 papers · 2 filters

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.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

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

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