16 citations · 42 across the 21 of their papers we have counts for
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math.GR2013
On the character varieties of finitely generated groups
Igor A. Rapinchuk
We establish three results dealing with the character varieties of finitely generated groups. The first two are concerned with the behavior of as a function of , a…
math.GR2013
Abstract homomorphisms of algebraic groups and applications
Igor A. Rapinchuk
This paper is an overview of my recent work on abstract homomorphisms of algebraic groups. It is based on a talk given at the Conference on Group Actions and Applications in Geomet…
math.RA2013
The genus of a division algebra and the unramified Brauer group
Vladimir I. Chernousov, Andrei S. Rapinchuk, Igor A. Rapinchuk
Let D be a finite-dimensional central division algebra over a field K. We define the genus gen(D) of D to be the collection of classes in the Brauer group of K represented by centr…