2 citations · 5 across the 8 of their papers we have counts for
11 papers
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 elementary subgroups: curiouser and curiouser
Nikolai Vavilov, Zuhong Zhang
Let be any associative ring with , , and let be two-sided ideals of . In our previous joint works with Roozbeh Hazrat [17,15] we have found a generating set…
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…
Inclusion among commutators of elementary subgroups
Nikolai Vavilov, Zuhong Zhang
In the present paper we continue the study of the elementary commutator subgroups , where and are two-sided ideals of an associative ring , . Fi…
Multiple commutators of elementary subgroups: end of the line
Nikolai Vavilov, Zuhong Zhang
In our previous joint papers with Roozbeh Hazrat and Alexei Stepanov we established commutator formulas for relative elementary subgroups in , , and other similar…