THE PROBLEM OF STRONG APPROXIMATION AND THE KNESER-TITS CONJECTURE FOR ALGEBRAIC GROUPS

В. П. Платонов

Type: Article

Publication Date: 1969-12-31

Citations: 62

DOI: https://doi.org/10.1070/im1969v003n06abeh000838

View Publication

Locations

Mathematics of the USSR-Izvestiya - View

Similar Works

Action	Title	Year	Authors
+	ADDENDUM TO THE PAPER "THE PROBLEM OF STRONG APPROXIMATION AND THE KNESER-TITS CONJECTURE FOR ALGEBRAIC GROUPS"	1970	В. П. Платонов
+ PDF Chat	Strong approximation for Zariski dense subgroups over arbitrary global fields	2000	Richard Pink
+	On strong approximation for algebraic groups	2012	Andrei S. Rapinchuk
+	On strong approximation for algebraic groups	2012	Andrei S. Rapinchuk
+	The Strong Approximation Conjecture holds for amenable groups	2005	Gábor Elek
+	The Strong Approximation Conjecture holds for amenable groups	2005	Gábor Elek
+	On almost strong approximation for algebraic groups	2002	Wai Kiu Chan J. S. Hsia
+	On the weak approximation in algebraic groups	1992	Nguycftilen Quôc Tháng
+ PDF Chat	Arithmetic purity of strong approximation for semi-simple simply connected groups	2020	Yang Cao Zhizhong Huang
+	Arithmetic purity of strong approximation for semi-simple simply connected groups	2019	Yang Cao Zhizhong Huang
+	On almost strong approximation for some exceptional groups	2004	Wai Kiu Chan
+	Fields Definable in Simple Groups	1999	Katrin Tent
+	Arithmetic purity of strong approximation for homogeneous spaces	2019	Yang Cao Yongqi Liang Fei Xu
+	The étale Brauer-Manin obstruction to strong approximation on homogeneous spaces	2020	Julian Lawrence Demeio
+	Weak approximation in algebraic groups and homogeneous spaces	1992	Boris Kunyavskiı̆ A. N. Skorobogatov
+	Strong approximation with Brauer-Manin obstruction for varieties with action of linear algebraic groups	2015	Yang Cao Fei Xu
+	Manin obstruction to strong approximation for homogeneous spaces	2009	Mikhail Borovoi Cyril Demarche
+	A short proof of the Approximation Conjecture for amenable groups	2008	Daniel Pape
+	Manin obstruction to strong approximation for homogeneous spaces	2009	Mikhail Borovoi Cyril Demarche
+	Strong characterizing sequences for subgroups of compact groups	2006	András Bíró

Works That Cite This (56)

Action	Title	Year	Authors
+	Measure rigidity for almost linear groups and its applications	1996	G. A. Margulis Georges Tomanov
+	Tannaka Duality for Discrete Groups	1980	Alexander Lubotzky
+	Finiteness of quotient groups of discrete subgroups	1979	G. A. Margulis
+	The arithmetic theory of algebraic groups	1982	В. П. Платонов
+	Isogenies and Congruence Subgroups	1981	M. S. Raghunathan
+ PDF Chat	Non-univalent harmonic maps homotopic to diffeomorphisms	2000	F. T. Farrell Pedro Ontaneda M. S. Raghunathan
+	L	1995	Henk Barendregt Igor V. Dolgachev G. Rozenberg A. Salomaa А. П. Солдатов A. F. Leont’ev V. F. Emel’yanov Igor Egorov Н. Х. Розов V. Rumyantsev
+	Arithmetisch definierte Gruppen mit Galoisoperation	1978	Jürgen Rohlfs
+	Quaternion orders and sphere packings	2019	Arseniy Sheydvasser
+ PDF Chat	The twisted Euclidean algorithm: Applications to number theory and geometry	2020	Arseniy Sheydvasser

Works Cited by This (12)

Action	Title	Year	Authors
+	Algebras with Involutions and the Classical Groups	1960	André Weil
+	Groupes analytiques $p$-adiques	1965	Michel Lazard
+	Algebraic and Abstract Simple Groups	1964	Jacques Tits
+ PDF Chat	Sur certains groupes simples	1955	Catherine Chevalley
+ PDF Chat	Some finiteness properties of adele groups over number fields	1963	Armand Borel
+	Galois-Kohomologie halbeinfacher algebraischer Gruppen �berp-adischen K�rpern. I	1965	Martin Kneser
+	Starke Approximation in algebraischen Gruppen. I.	1965	Martin Kneser
+	Arithmetic of Unitary Groups	1964	Goro Shimura
+	Solution of the congruence subgroup problem for SL n (n ≥ 3) and Sp2n (n ≥ 2)	1967	Hyman Bass John Milnor Jean-Pierre Serre
+	On the Commutator Group of a Simple Algebra	1950	Shianghaw Wang