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

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

Type: Article

Publication Date: 2023-12-12

Citations: 1

DOI: https://doi.org/10.1016/j.aim.2023.109437

View Publication

Download PDF

Locations

Advances in Mathematics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction	2021	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+ PDF Chat	Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction	2021	Vladimir Chernousov Andrei S. Rapinchuk Igor A. Rapinchuk
+	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
+	Weakly commensurable groups, with applications to differential geometry	2013	Gopal Prasad Andrei S. Rapinchuk
+	Algebraic groups with good reduction and the genus problem	2022	Igor A. Rapinchuk
+ PDF Chat	Algebraic groups with good reduction and the genus problem	2024	Igor A. Rapinchuk
+ PDF Chat	Weakly commensurable<i>S</i>-arithmetic subgroups in almost simple algebraic groups of types B and C	2013	Skip Garibaldi Andrei S. Rapinchuk
+ PDF Chat	Linear algebraic groups with good reduction	2020	Andrei S. Rapinchuk Igor A. Rapinchuk
+	Outer automorphisms of algebraic groups and determining groups by their maximal tori	2012	Skip Garibaldi
+	Linear algebraic groups with good reduction	2020	Andrei S. Rapinchuk Igor A. Rapinchuk
+	Linear algebraic groups with good reduction	2020	Andrei S. Rapinchuk Igor A. Rapinchuk
+ PDF Chat	Local–global principles for embedding of fields with involution into simple algebras with involution	2010	Gopal Prasad Andrei S. Rapinchuk
+	Reduction Theory and Arithmetic Groups	2022	Joachim Schwermer
+ PDF Chat	No bounded geometry wandering domains for sufficiently regular automorphisms	2024	Sergei Merenkov
+ PDF Chat	On the splitting fields of generic elements in Zariski dense subgroups	2016	Supriya Pisolkar C. S. Rajan
+	Maximal amenable subgroups of arithmetic groups	2022	В. А. Алексеев Alessandro Carderi
+	On the splitting fields of generic elements in Zariski dense subgroups	2015	Supriya Pisolkar C. S. Rajan
+	Splitting of abelian varieties	2014	V. Kumar Murty Ying Zong
+	Weakly Commensurable Zariski-Dense Subgroups of Algebraic Groups Defined Over Fields of Positive Characteristic	2015	Joshua Schwartz
+	Reciprocity obstruction to strong approximation over p-adic function fields	2024	Haowen Zhang

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	Algebraic groups with good reduction and the genus problem	2024	Igor A. Rapinchuk

Works Cited by This (55)

Action	Title	Year	Authors
+	Discrete Subgroups of Lie Groups	1972	M. S. Raghunathan
+	Algebraic groups and Discontinuous Subgroups	1966	Armand Borel G. D. Mostow
+	Cohomology of Number Fields	2008	Jürgen Neukirch Alexander Schmidt Kay Wingberg
+ PDF Chat	Cohomological Invariants in Galois Cohomology	2003	Skip Garibaldi Alexander Merkurjev Jean Pierre Serre
+	Algebraic Groups and Class Fields	1988	Jean-Pierre Serre
+ PDF Chat	Weakly commensurable arithmetic groups and isospectral locally symmetric spaces	2009	Gopal Prasad Andrei S. Rapinchuk
+	Criteria of motivic equivalence for quadratic forms and central simple algebras	2000	Nikita A. Karpenko
+	Isospectrality and commensurability of arithmetic hyperbolic 2- and 3-manifolds	1992	Alan W. Reid
+	The kernel of the Rost invariant, Serre's Conjecture II and the Hasse principle for quasi-split groups 3,6 D 4 , E 6 , E 7	2003	Vladimir Chernousov
+	Groups over ℤ	1996	Benedict H. Gross