24 citations · 43 across the 17 of their papers we have counts for
12 papers · 1 filter
Uniform bounded elementary generation of Chevalley groups
Boris Kunyavskii, Eugene Plotkin, Nikolai Vavilov
In this paper we establish a definitive result which almost completely closes the problem of bounded elementary generation for Chevalley groups of rank over arbitrary Dedek…
Bounded generation and commutator width of Chevalley groups: function case
Boris Kunyavskii, Eugene Plotkin, Nikolai Vavilov
We prove that Chevalley groups over polynomial rings and over Laurent polynomial rings, where is a finite field, are boundedl…
Elementary equivalence of Kac-Moody groups
Jun Morita, Eugene Plotkin
The paper is devoted to model-theoretic properties of Kac-Moody groups with the focus on elementary equivalence of Kac-Moody groups. We show that elementary equivalence of (untwist…
On first order rigidity for linear groups
Eugene Plotkin
The paper is a short survey of recent developments in the area of first order descriptions of linear groups. It is aimed to illuminate the known results and to pose the new problem…
Word maps on perfect algebraic groups
Nikolai Gordeev, Boris Kunyavskii, Eugene Plotkin
We extend Borel's theorem on the dominance of word maps from semisimple algebraic groups to some perfect groups. In another direction, we generalize Borel's theorem to some words w…
Word maps, word maps with constants and representation varieties of one-relator groups
Nikolai Gordeev, Boris Kunyavskii, Eugene Plotkin
We consider word maps and word maps with constants on a simple algebraic group. We present results on the images of such maps, in particular, we prove a theorem on the dominance of…