Showing math.GRShow all
3 papers · 1 filter
math.GR2022
Algebraic groups with good reduction and the genus problem
Igor A. Rapinchuk
We first provide an overview of several results dealing with the genus of a division algebra and highlight the role of ramification in its analysis. We then give a survey of recent…
math.GR2016
On abstract homomorphisms of Chevalley groups over the coordinate rings of affine curves
Igor A. Rapinchuk
The goal of this paper is to establish a general rigidity statement for abstract representations of elementary subgroups of Chevalley groups of rank at least 2 over a class of comm…
math.GR2016
On abstract representations of the groups of rational points of algebraic groups in positive characteristic
Mitya Boyarchenko, Igor A. Rapinchuk
We analyze the structure of a large class of connected algebraic rings over an algebraically closed field of positive characteristic using Greenberg's perfectization functor. We th…