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20092025
most citedOn Grothendieck--Serre's conjecture concerning principal G-bundles over reductive group schemes:I

13 citations · 34 across the 21 of their papers we have counts for

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Showing 2018Show all

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math.KT2018

Chevalley groups of polynomial rings over Dedekind domains

Anastasia Stavrova

Let R be a Dedekind domain, and let G be a simply connected Chevalley-Demazure group scheme of rank =>2. We prove that G(R[x_1,...,x_n])=G(R)E(R[x_1,...,x_n]) for any n=>1. This ex…

math.GR2018

Normal structure of isotropic reductive groups over rings

Anastasia Stavrova, Alexei Stepanov

The paper studies the lattice of subgroups of an isotropic reductive group G(R) over a commutative ring R, normalized by the elementary subgroup E(R). We prove the sandwich classif…