Igor A. Rapinchuk

activity

20092026

most citedOn linear representations of Chevalley groups over commutative rings

16 citations · 42 across the 21 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.NT2017★ 1 cited

A generalization of Serre's condition (F) with applications to the finiteness of unramified cohomology

Igor A. Rapinchuk

In this paper, we introduce a condition $(F_{m}^{'})$ on a field $K$ , for a positive integer $m$ , that generalizes Serre's condition (F) and which still implies the fi…

math.NT2017★ 8 cited

Spinor Groups with Good Reduction

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

Let $K$ be a 2-dimensional global field of characteristic $\neq = 2$ , and let $V$ be a divisorial set of places of $K$ . We show that for a given $n ⩾ 5$ , the set of $K$ -isomo…