16 citations · 42 across the 21 of their papers we have counts for
4 papers · 1 filter
Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction
Vladimir I. Chernousov, Andrei S. Rapinchuk, Igor A. Rapinchuk
We provide a new condition for an absolutely almost simple algebraic group to have good reduction with respect to a discrete valuation of the base field which is formulated in term…
On abstract homomorphisms of some special unitary groups
Igor A. Rapinchuk, Joshua Ruiter
We analyze the abstract representations of the groups of rational points of even-dimensional quasi-split special unitary groups associated with quadratic field extensions. We show…
Properness of the global-to-local map for algebraic groups with toric connected component and other finiteness properties
Andrei S. Rapinchuk, Igor A. Rapinchuk
This is a companion paper to our previous work, where we proved the finiteness of the Tate-Shafarevich group for an arbitrary torus over a finitely generated field with res…
Recent developments in the theory of linear algebraic groups: Good reduction and finiteness properties
Andrei S. Rapinchuk, Igor A. Rapinchuk
This is a survey article on some recent developments in the arithmetic theory of linear algebraic groups over higher-dimensional fields, written for the Notices of the AMS.