54 citations · 131 across the 13 of their papers we have counts for
14 papers
Note on the First Part of Borel-Cantelli Lemma
Alexei Stepanov
In this short note, we briefly discuss the Borel-Cantelli lemma and propose a new generalization of the first part of it.
A Note on the Borel-Cantelli Lemma
Narayanaswamy Balakrishnan, Alexei Stepanov
In this short note, we discuss the Barndorff-Nielsen lemma, which is a generalization of well-known Borel-Cantelli lemma. Although the result stated in the Barndorff-Nielsen lemma…
Normal structure of isotropic reductive groups over rings
Anastasia Stavrova, Alexei Stepanov
The paper studies the lattice of subgroups of an isotropic reductive group G(R) over a commutative ring R, normalized by the elementary subgroup E(R). We prove the sandwich classif…
A new look at the decomposition of unipotents and the normal structure of Chevalley groups
Alexei Stepanov
The current article continues a series of papers on decomposition of unipotents and its applications. Let be a Chevalley group with a reduced irreducible root system o…
On the Kendall Correlation Coefficient
Alexei Stepanov
In the present paper, we first discuss the Kendall rank correlation coefficient. In continuous case, we define the Kendall rank correlation coefficient in terms of the concomitants…
Bijections preserving commutators and automorphisms of unitriangular group
Waldemar Holubowski, Alexei Stepanov
We complete characterization of bijections preserving commutators (PC-maps) in the group of unitriangular matrices over a field , where is a natural number or infi…