12 citations · 12 across the 3 of their papers we have counts for
3 papers
Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields
Andrei S. Rapinchuk, Igor A. Rapinchuk
We formulate and analyze several finiteness conjectures for linear algebraic groups over higher-dimensional fields. In fact, we prove all of these conjectures for algebraic tori as…
Division algebras with the same maximal subfields
Vladimir I. Chernousov, Andrei S. Rapinchuk, Igor A. Rapinchuk
We give a survey of recent results related to the problem of characterizing finite-dimensional division algebras by the set of isomorphism classes of their maximal subfields. We al…
Centrality of the congruence kernel for elementary subgroups of Chevalley groups of rank >1 over noetherian rings
Andrei S. Rapinchuk, Igor A. Rapinchuk
We prove the centrality of the congruence kernel for the elementary subgroup of a Chevalley group G of rank >1 over an arbitrary noetherian ring R (under some minor restrictions on…