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most citedSimple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction

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math.RA2018

The finiteness of the genus of a finite-dimensional division algebra, and some generalizations

Vladimir I. Chernousov, Andrei S. Rapinchuk, Igor A. Rapinchuk

We prove that the genus of a finite-dimensional division algebra is finite whenever the center is a finitely generated field of any characteristic. We also discuss potential applic…