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20132026
most citedSimple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction

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math.NT2020

Linear algebraic groups with good reduction

Andrei S. Rapinchuk, Igor A. Rapinchuk

This article is a survey of conjectures and results on reductive algebraic groups having good reduction at a suitable set of discrete valuations of the base field. Until recently,…

math.NT2020

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…