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researcher

A. Rapinchuk

4 papers hereh-index 3122 citations9 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • first author3
  • middle author1

Across the 4 of 4 papers where every author was matched, so the position is known.

fields
  • math.RA2
  • math.AG1
  • math.GR1
same name
  • A. Rapinchuk — 34 papers, h 20

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity
20092026
most citedDivision algebras with the same maximal subfields

12 citations · 14 across the 4 of their papers we have counts for

collaborators

4 papers

math.GR2026

Products of trees and PGL2​-torsors over the punctured affine line

Andrei S. Rapinchuk, Igor A. Rapinchuk, Avinash Roy

The goal of this article is to present a computation of the Galois cohomology of the group G=PGL2​ over rings of Laurent polynomials. This computation recovers the mai…

math.AG2025

On Almost Strong Approximation in Reductive Algebraic Groups

Andrei S. Rapinchuk, Wojciech Tralle

We investigate a slight weakening of the classical property of strong approximation, which we call almost strong approximation, for connected reductive algebraic groups over global…

math.RA2015★ 12 cited

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…

math.RA2009★ 2 cited

On division algebras having the same maximal subfields

A. S. Rapinchuk, I. A. Rapinchuk

We address the problem of when two finite dimensional central division algebras over the same field are necessarily isomorphic given that they have the same maximal subfields.

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.