+
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The finiteness of the Tate–Shafarevich group over function fields for algebraic tori defined over the base field
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2024
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Andrei S. Rapinchuk
Igor A. Rapinchuk
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+
PDF
Chat
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Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction
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2023
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
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+
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Algebraic Number Theory
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2023
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В. П. Платонов
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Algebraic Groups and Number Theory
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2023
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В. П. Платонов
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
Chat
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Applications of the Fixed Point Theorem for group actions on buildings to algebraic groups over polynomial rings
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2023
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Peter Abramenko
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
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Properness of the global-to-local map for algebraic groups with toric connected component and other finiteness properties
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2023
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Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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The finiteness of the Tate-Shafarevich group over function fields for algebraic tori defined over the base field
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2023
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Andrei S. Rapinchuk
Igor A. Rapinchuk
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+
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Purely exponential parametrizations and their group-theoretic applications
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2023
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Pietro Corvaja
Julian Lawrence Demeio
Andrei S. Rapinchuk
Jinbo Ren
Umberto Zannier
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+
PDF
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Bounded Generation by semi-simple elements: quantitative results
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2022
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Pietro Corvaja
Julian Lawrence Demeio
Andrei S. Rapinchuk
Jinbo Ren
Umberto Zannier
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+
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Bounded Generation by semi-simple elements: quantitative results
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2022
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Pietro Corvaja
Julian Lawrence Demeio
Andrei S. Rapinchuk
Jinbo Ren
Umberto Zannier
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+
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Applications of the Fixed Point Theorem for group actions on buildings to algebraic groups over polynomial rings
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2022
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Peter Abramenko
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
Chat
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Simple algebraic groups with the same maximal tori, weakly commensurable
Zariski-dense subgroups, and good reduction
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2021
|
Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
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Finiteness theorems for algebraic tori over function fields
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2021
|
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
Chat
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Non-virtually abelian anisotropic linear groups are not boundedly generated
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2021
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Pietro Corvaja
Andrei S. Rapinchuk
Jinbo Ren
Umberto Zannier
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+
PDF
Chat
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Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields
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2021
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Andrei S. Rapinchuk
Igor A. Rapinchuk
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+
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Division algebras with common subfields
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2021
|
Daniel Krashen
Eliyahu Matzri
Andrei S. Rapinchuk
Louis Rowen
David J. Saltman
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+
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Recent Developments in the Theory of Linear Algebraic Groups: Good Reduction and Finiteness Properties
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2021
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Andrei S. Rapinchuk
Igor A. Rapinchuk
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+
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Recent developments in the theory of linear algebraic groups: Good reduction and finiteness properties
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2021
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Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Non-virtually abelian anisotropic linear groups are not boundedly generated
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2021
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Pietro Corvaja
Andrei S. Rapinchuk
Jinbo Ren
Umberto Zannier
|
+
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Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction
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2021
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Recent developments in the theory of linear algebraic groups: Good reduction and finiteness properties
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2021
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Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Properness of the global-to-local map for algebraic groups with toric connected component and other finiteness properties
|
2021
|
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
Chat
|
Linear algebraic groups with good reduction
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2020
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Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Linear algebraic groups with good reduction
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2020
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Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
Chat
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The finiteness of the genus of a finite-dimensional division algebra, and some generalizations
|
2020
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields
|
2020
|
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Linear algebraic groups with good reduction
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2020
|
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Some finiteness results for algebraic groups and unramified cohomology over higher-dimensional fields
|
2020
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Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
Chat
|
Spinor groups with good reduction
|
2019
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
Chat
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Bounded generation of SL2 over rings of S-integers with infinitely many units
|
2018
|
Aleksander Morgan
Andrei S. Rapinchuk
B. Sury
|
+
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The finiteness of the genus of a finite-dimensional division algebra, and some generalizations
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2018
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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The finiteness of the genus of a finite-dimensional division algebra, and some generalizations
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2018
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
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Generic elements of a Zariski-dense subgroup form an open subset
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2017
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Gopal Prasad
Andrei S. Rapinchuk
|
+
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Generic elements of a Zariski-dense subgroup form an open subset
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2017
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Gopal Prasad
Andrei S. Rapinchuk
|
+
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Generic elements of a Zariski-dense subgroup form an open subset
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2017
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Gopal Prasad
Andrei S. Rapinchuk
|
+
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On some finiteness properties of algebraic groups over finitely generated fields
|
2016
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
Chat
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On the Size of the Genus of a Division Algebra
|
2016
|
Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
Chat
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On the congruence kernel for simple algebraic groups
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2016
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Gopal Prasad
Andrei S. Rapinchuk
|
+
PDF
Chat
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On the Congruence Kernel for Simple Algebraic Groups
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2016
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Gopal Prasad
Andrei S. Rapinchuk
|
+
PDF
Chat
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On the size of the genus of a division algebra
|
2016
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
Chat
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Division algebras with the same maximal subfields
|
2015
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Vladimir Petrovich Platonov (on his 75th birthday)
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2015
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Сергей Иванович Адян
Valerii Vatslavovich Benyash-Krivets
Victor Matveevich Buchstaber
Efim Zelmanov
Валерий Васильевич Козлов
Григорий Александрович Маргулис
S P Novikov
Алексей Николаевич Паршин
Гопал Прасад
Andrei S. Rapinchuk
|
+
PDF
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Vladimir Petrovich Platonov (on his 75th birthday)
|
2015
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Сергей Иванович Адян
Valerii Vatslavovich Benyash-Krivets
Victor Matveevich Buchstaber
Efim Zelmanov
Valery Vasil'evich Kozlov
Григорий Александрович Маргулис
Сергей Петрович Новиков
Alexey Nikolaevich Parshin
Гопал Прасад
Andrei S. Rapinchuk
|
+
PDF
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Division algebras with the same maximal subfields
|
2015
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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On the size of the genus of a division algebra
|
2015
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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On the congruence kernel for simple algebraic groups
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2015
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Gopal Prasad
Andrei S. Rapinchuk
|
+
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On graphs and valuations
|
2014
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Ido Efrat
Andrei S. Rapinchuk
Yoav Segev
|
+
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On graphs and valuations
|
2014
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Ido Efrat
Andrei S. Rapinchuk
Yoav Segev
|
+
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On graphs and valuations
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2014
|
Ido Efrat
Andrei S. Rapinchuk
Yoav Segev
|
+
PDF
Chat
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On the fields generated by the lengths of closed geodesics in locally symmetric spaces
|
2013
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Gopal Prasad
Andrei S. Rapinchuk
|
+
PDF
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Weakly commensurable<i>S</i>-arithmetic subgroups in almost simple algebraic groups of types B and C
|
2013
|
Skip Garibaldi
Andrei S. Rapinchuk
|
+
PDF
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The genus of a division algebra and the unramified Brauer group
|
2013
|
Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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On the congruence subgroup problem
|
2013
|
Andrei S. Rapinchuk
|
+
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The genus of a division algebra and the unramified Brauer group
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2013
|
Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Weakly commensurable groups, with applications to differential geometry
|
2013
|
Gopal Prasad
Andrei S. Rapinchuk
|
+
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Arithmetic Groups (Banff, Alberta, April 14-19, 2013)
|
2013
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Kai‐Uwe Bux
Dave Witte Morris
Gopal Prasad
Andrei S. Rapinchuk
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+
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The genus of a division algebra and the unramified Brauer group
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2013
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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The multinorm principle for linearly disjoint Galois extensions
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2012
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Timothy P. Pollio
Andrei S. Rapinchuk
|
+
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On the genus of a division algebra
|
2012
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Vladimir Chernousov
Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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On strong approximation for algebraic groups
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2012
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Andrei S. Rapinchuk
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+
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The Multinorm Principle For Linearly Disjoint Galois Extensions
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2012
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Timothy P. Pollio
Andrei S. Rapinchuk
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+
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Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces
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2012
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Gopal Prasad
Andrei S. Rapinchuk
|
+
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On strong approximation for algebraic groups
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2012
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Andrei S. Rapinchuk
|
+
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The Multinorm Principle For Linearly Disjoint Galois Extensions
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2012
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Timothy P. Pollio
Andrei S. Rapinchuk
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+
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On the fields generated by the lengths of closed geodesics in locally symmetric spaces
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2011
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Gopal Prasad
Andrei S. Rapinchuk
|
+
PDF
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The congruence subgroup property for Aut $F_2$: A group-theoretic proof of Asada’s theorem
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2011
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Kai‐Uwe Bux
Mikhail Ershov
Andrei S. Rapinchuk
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+
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Centrality of the congruence kernel for elementary subgroups of Chevalley groups of rank >1 over noetherian rings
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2011
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Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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On the fields generated by the lengths of closed geodesics in locally symmetric spaces
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2011
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Gopal Prasad
Andrei S. Rapinchuk
|
+
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Centrality of the congruence kernel for elementary subgroups of Chevalley groups of rank >1 over noetherian rings
|
2010
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Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
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Local–global principles for embedding of fields with involution into simple algebras with involution
|
2010
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Gopal Prasad
Andrei S. Rapinchuk
|
+
PDF
Chat
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On division algebras having the same maximal subfields
|
2010
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Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Centrality of the congruence kernel for elementary subgroups of Chevalley groups of rank >1 over noetherian rings
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2010
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Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
PDF
Chat
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Weakly commensurable arithmetic groups and isospectral locally symmetric spaces
|
2009
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Gopal Prasad
Andrei S. Rapinchuk
|
+
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On division algebras having the same maximal subfields
|
2009
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Andrei S. Rapinchuk
Igor A. Rapinchuk
|
+
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Three results on the regularity of the curves that are invariant by an exact symplectic twist map . Invariant subspaces for operators in a general II[1]-factor . Weakly commensurable arithmetic groups and isospectral locally symmetric spaces . The C[1] generic diffeomorphism has trivial centralizer . Finitude homotopique et isotopique des structures de contact tendues . Deux caractérisations de la mesure d'équilibre d'un endomorphisme de P[k](C) (Erratum)
|
2009
|
Marie-Claude Arnaud
Uffe Haagerup
Hanne Schultz
Gopal Prasad
Andrei S. Rapinchuk
Christian Bonatti
Sylvain Crovisier
Amie Wilkinson
Vincent Colin
Emmanuel Giroux
|
+
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Number theoretic techniques in the theory of Lie groups and differential geometry
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2008
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Gopal Prasad
Andrei S. Rapinchuk
|
+
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Developments on the congruence subgroup problem after the work of Bass, Milnor and Serre
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2008
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Gopal Prasad
Andrei S. Rapinchuk
|
+
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Local-global principles for embedding of fields with involution into simple algebras with involution
|
2008
|
Gopal Prasad
Andrei S. Rapinchuk
|
+
PDF
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Nonabelian free subgroups in homomorphic images of valued quaternion division algebras
|
2006
|
Andrei S. Rapinchuk
Louis Rowen
Yoav Segev
|
+
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On the existence of isotropic forms of semi-simple algebraic groups over number fields with prescribed local behavior
|
2006
|
Gopal Prasad
Andrei S. Rapinchuk
|
+
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Bounded generation of S-arithmetic subgroups of isotropic orthogonal groups over number fields
|
2006
|
Igor V. Erovenko
Andrei S. Rapinchuk
|
+
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The Margulis-Platonov conjecture for SL1,D and 2-generation of finite simple groups
|
2005
|
Andrei S. Rapinchuk
|
+
PDF
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Zariski-dense subgroups and transcendental number theory
|
2005
|
Gopal Prasad
Andrei S. Rapinchuk
|
+
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Bounded generation of S-arithmetic subgroups of isotropic orthogonal groups over number fields
|
2005
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Igor V. Erovenko
Andrei S. Rapinchuk
|
+
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Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable
|
2002
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Andrei S. Rapinchuk
Yoav Segev
Gary M. Seitz
|
+
PDF
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Subnormal subgroups of the groups of rational points of reductive algebraic groups
|
2002
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Gopal Prasad
Andrei S. Rapinchuk
|
+
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None
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2002
|
Gopal Prasad
Andrei S. Rapinchuk
|
+
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Bounded generation of some -arithmetic orthogonal groups
|
2001
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Igor V. Erovenko
Andrei S. Rapinchuk
|
+
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On Abstract Homomorphisms of Chevalley Groups with Nonreductive Image, I
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2001
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Lucy Lifschitz
Andrei S. Rapinchuk
|
+
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Valuation-like maps and the congruence subgroup property
|
2001
|
Andrei S. Rapinchuk
Yoav Segev
|
+
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None
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2001
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Gopal Prasad
Andrei S. Rapinchuk
|
+
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On the finite dimensional unitary representations of Kazhdan groups
|
1999
|
Andrei S. Rapinchuk
|
+
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On SS -rigid groups and A. Weil's criterion for local rigidity. I
|
1998
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Andrei S. Rapinchuk
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+
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On an approximation property for nondiscrete inequivalent representations of finitely generated groups
|
1998
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Andrei S. Rapinchuk
|
+
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n-Dimensional Linear Representations of AutFn, and More
|
1997
|
Andrei S. Rapinchuk
|
+
PDF
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Computation of the metaplectic kernel
|
1996
|
Gopal Prasad
Andrei S. Rapinchuk
|
+
PDF
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Representation varieties of the fundamental groups of compact orientable surfaces
|
1996
|
Andrei S. Rapinchuk
V. V. Benyash-Krivetz
Vladimir Chernousov
|
+
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Normal subgroups ofSL 1,D and the classification of finite simple groups
|
1996
|
Andrei S. Rapinchuk
Alexander Potapchik
|
+
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The chameleon groups of Richard J. Thompson : automorphisms and dynamics . Extensions centrales de groupes algébriques simplement connexes et cohomologie galoisienne . Computation of the metaplectic kernel . R-equivalence and rationality problem for semisimple adjoint classical algebraic groups
|
1996
|
Matthew G. Brin
Alexander Merkurjev
Pierre Deligne
Gopal Prasad
Andrei S. Rapinchuk
|
+
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G
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1995
|
A. F. Kharshiladze
D. V. Alekseevskiĭ
N. N. Vorob’ëv
V. A. Trenogin
A. Z. Petrov
D. D. Sokolov
E. A. Nisnevich
A. I. Skopin
S. P. Demushkin
В. П. Платонов
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+
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R
|
1995
|
L. A. Skornyakov
I.P. Mysovskikh
A. A. Talalyan
E. D. Solomentsev
A. G. Sveshnikov
V. A. Chuyanov
A. L. Shmel’kin
V. A. Andrunakievich
R. A. Minlos
K. Yu. Bulota
|
+
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ABSTRACT PROPERTIES OF $ S$-ARITHMETIC GROUPS AND THE CONGRUENCE PROBLEM
|
1993
|
В. П. Платонов
Andrei S. Rapinchuk
|
+
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The geometric theory of representations for the fundamental groups of compact oriented surfaces
|
1993
|
Andrei S. Rapinchuk
Valerii Vatslavovich Benyash-Krivets
|
+
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The metaplectic kernel for the group 𝑆𝐿(1,𝐷)
|
1992
|
Andrei S. Rapinchuk
|
+
PDF
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On the metaplectic kernel for anisotropic groups
|
1992
|
Andrei S. Rapinchuk
|
+
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Algebraic groups and number theory
|
1992
|
В. П. Платонов
Andrei S. Rapinchuk
|
+
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Structure of groups of rational points of classical algebraic groups over number fields
|
1990
|
В. П. Платонов
Andrei S. Rapinchuk
|
+
PDF
|
The congruence subgroup problem for algebraic groups
|
1990
|
Andrei S. Rapinchuk
|
+
|
MULTIPLICATIVE ARITHMETIC OF DIVISION ALGEBRAS OVER NUMBER FIELDS, AND THE METAPLECTIC PROBLEM
|
1988
|
Andrei S. Rapinchuk
|
+
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Thirteen Papers in Algebra and Number Theory
|
1986
|
I. Zhuk
I. Sh. Slavutskii
V. A. Lipnitskiĭ
Vladimir Chernousov
O. M. Adamovich
Yuriy Drozd
В. М. Бондаренко
A. G. Zavadskiĭ
Larisa Nazarova
Valentin F. Turchin
|
+
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On Platonov’s conjecture on genus in arithmetic groups
|
1986
|
Andrei S. Rapinchuk
|
+
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Algebraic groups
|
1985
|
В. П. Платонов
Andrei S. Rapinchuk
|