24 citations · 82 across the 31 of their papers we have counts for
33 papers
Bounded elementary generation of SL_2: nearly the end
B. E. Kunyavskii, D. W. Morris, A. S. Rapinchuk
Let be the ring of -integers of a global field of any characteristic, where is a finite set of valuations of (and contains all of the archimedean…
Linearization of finite subgroups of Cremona groups over non-closed fields
Boris Kunyavskii
We study linearizability properties of finite subgroups of the Cremona group in the case where is a global field, with the focus on the local-global princi…
Birational properties of word varieties
Tatiana Bandman, Boris Kunyavskii, Alexei N. Skorobogatov
We prove that the subvariety of given by the matrix equation , where is a word in two letters, is closely related to an explicit smooth conic bund…
Bracket width of current Lie algebras
Boris Kunyavskii, Ievgen Makedonskyi, Andriy Regeta
The length of an element of a Lie algebra is defined as the smallest number needed to represent as a sum of brackets. The bracket width of is defined as sup…
Sha-rigidity of Chevalley groups over local rings
Elena Bunina, Boris Kunyavskii
We prove that every locally inner endomorphism of a Chevalley group (or its elementary subgroup) over a local ring with an irreducible root system of rank >1 (with 1/2 for the syst…
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…