24 citations · 87 across the 19 of their papers we have counts for
19 papers
Bounded generation of Steinberg groups over Dedekind rings of arithmetic type
Boris Kunyavskii, Andrei Lavrenov, Eugene Plotkin +1
The main result of the present paper is bounded elementary generation of the Steinberg groups for simply laced root systems of rank and arbitrary Ded…
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…
Relative centralisers of relative subgroups
Nikolai Vavilov, Zuhong Zhang
Let be an associative ring with 1, be the general linear group of degree over . In this paper we calculate the relative centralisers of the relative el…
Commutators of relative and unrelative elementary unitary groups
Nikolai Vavilov, Zuhong Zhang
In the present paper we find generators of the mixed commutator subgroups of relative elementary groups and obtain unrelativised versions of commutator formulas in the setting of B…
Commutators of relative and unrelative elementary subgroups in Chevalley groups
Nikolai Vavilov, Zuhong Zhang
In the present paper, which is a direct sequel of our papers [10,11,35] joint with Roozbeh Hazrat, we achieve a further dramatic reduction of the generating sets for commutators of…