54 citations · 131 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
Structure of Chevalley groups over rings via universal localization
Alexei Stepanov
In the current article we study structure of a Chevalley group over a commutative ring . We generalize and improve the following results: (1) standard, relative, and mult…
Local-global principle for congruence subgroups of Chevalley groups
Himanee Apte, Alexei Stepanov
We prove Suslin's local-global principle for principal congruence subgroups of Chevalley groups. Let be a Chevalley--Demazure group scheme with a root system and …
Commutator width in Chevalley groups
Roozbeh Hazrat, Alexei Stepanov, Nikolai Vavilov +1
The present paper is the [slightly expanded] text of our talk at the Conference "Advances in Group Theory and Applications" at Porto Cesareo in June 2011. Our main results assert t…
The yoga of commutators
R. Hazrat, A. V. Stepanov, N. A. Vavilov +1
In the present paper we discuss some recent versions of localisation methods for calculations in the groups of points of algebraic-like and classical-like groups. Namely, we descri…