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Weakly commensurable arithmetic groups and isospectral locally symmetric spaces

Publications mathématiques. Institut des hautes études scientifiques, 2009-07, Vol.109 (1), p.113-184

2009

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Non-virtually abelian anisotropic linear groups are not boundedly generated

Inventiones mathematicae, 2022, Vol.227 (1), p.1-26

2022

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Centrality of the congruence kernel for elementary subgroups of Chevalley groups of rank > 1 over noetherian rings

Proceedings of the American Mathematical Society, 2011-09, Vol.139 (9), p.3099-3113

2011

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Spinor groups with good reduction

Compositio mathematica, 2019-03, Vol.155 (3), p.484-527

2019

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

Israel journal of mathematics, 2020-03, Vol.236 (2), p.747-799

2020

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Recent Developments in the Theory of Linear Algebraic Groups: Good Reduction and Finiteness Properties

Notices of the American Mathematical Society, 2021-06, Vol.68 (6), p.1

2021

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Linear algebraic groups with good reduction

Research in the mathematical sciences, 2020-09, Vol.7 (3), Article 28

2020

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The genus of a division algebra and the unramified Brauer group

Bulletin of mathematical sciences, 2013-08, Vol.3 (2), p.211-240

2013

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Nonabelian free subgroups in homomorphic images of valued quaternion division algebras

Proceedings of the American Mathematical Society, 2006-11, Vol.134 (11), p.3107-3114

2006

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On the genus of a division algebra

Comptes rendus. Mathématique, 2012-09, Vol.350 (17-18), p.807-812

2012

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Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields

Journal of number theory, 2022-04, Vol.233, p.228-260

2022

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Applications of the Fixed Point Theorem for group actions on buildings to algebraic groups over polynomial rings

Journal of algebra, 2024-10, Vol.656, p.3-23

2024

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Properness of the global-to-local map for algebraic groups with toric connected component and other finiteness properties

Mathematical research letters, 2023, Vol.30 (3), p.913-943

2023

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

Advances in mathematics (New York. 1965), 2024-02, Vol.438, p.109437, Article 109437

2024

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Subnormal subgroups of the groups of rational points of reductive algebraic groups

Proceedings of the American Mathematical Society, 2002-08, Vol.130 (8), p.2219-2227

2002

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Finiteness theorems for algebraic tori over function fields

Comptes rendus. Mathématique, 2021-01, Vol.359 (8), p.939-944

2021

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The congruence subgroup property for Aut $F_2$: A group-theoretic proof of Asada’s theorem

Groups, geometry and dynamics, 2011-03, Vol.5 (2), p.327-353

2011

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Bounded generation of SL2 over rings of S-integers with infinitely many units

Algebra & Number Theory, 2018-12, Vol.12 (8), p.1949-1974

2018

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Bounded Generation by semi-simple elements: quantitative results

Comptes rendus. Mathématique, 2022-01, Vol.360 (G11), p.1249-1255

2022

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On some finiteness properties of algebraic groups over finitely generated fields

Comptes rendus. Mathématique, 2016-09, Vol.354 (9), p.869-873

2016

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On the fields generated by the lengths of closed geodesics in locally symmetric spaces

Geometriae dedicata, 2014-10, Vol.172 (1), p.79-120

2014

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Local–global principles for embedding of fields with involution into simple algebras with involution

Commentarii mathematici Helvetici, 2010-01, Vol.85 (3), p.583-645

2010

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On the congruence kernel for simple algebraic groups

Proceedings of the Steklov Institute of Mathematics, 2016, Vol.292 (1), p.216-246

2016

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Valuation-like maps and the congruence subgroup property

Inventiones mathematicae, 2001-06, Vol.144 (3), p.571-607

2001

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The multinorm principle for linearly disjoint Galois extensions

Journal of number theory, 2013-02, Vol.133 (2), p.802-821

2013

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Weakly commensurable arithmetic groups and isospectral locally symmetric spaces

Non-virtually abelian anisotropic linear groups are not boundedly generated

Centrality of the congruence kernel for elementary subgroups of Chevalley groups of rank > 1 over noetherian rings

Spinor groups with good reduction

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

Recent Developments in the Theory of Linear Algebraic Groups: Good Reduction and Finiteness Properties

Linear algebraic groups with good reduction

The genus of a division algebra and the unramified Brauer group

Nonabelian free subgroups in homomorphic images of valued quaternion division algebras

On the genus of a division algebra

Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields

Applications of the Fixed Point Theorem for group actions on buildings to algebraic groups over polynomial rings

Properness of the global-to-local map for algebraic groups with toric connected component and other finiteness properties

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

Subnormal subgroups of the groups of rational points of reductive algebraic groups

Finiteness theorems for algebraic tori over function fields

The congruence subgroup property for Aut $F_2$: A group-theoretic proof of Asada’s theorem

Bounded generation of SL2 over rings of S-integers with infinitely many units

Bounded Generation by semi-simple elements: quantitative results

On some finiteness properties of algebraic groups over finitely generated fields

On the fields generated by the lengths of closed geodesics in locally symmetric spaces

Local–global principles for embedding of fields with involution into simple algebras with involution

On the congruence kernel for simple algebraic groups

Valuation-like maps and the congruence subgroup property

The multinorm principle for linearly disjoint Galois extensions

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