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The congruence subgroup problem. - MaRDI portal

The congruence subgroup problem. (Q1766196)

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scientific article; zbMATH DE number 2139579

Language	Label	Description	Also known as
English	The congruence subgroup problem.	scientific article; zbMATH DE number 2139579

Statements

scholarly article

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The congruence subgroup problem. (English)

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M. S. Raghunathan

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Proceedings of the Indian Academy of Sciences. Mathematical Sciences

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publication date

28 February 2005

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zbMATH Keywords

congruence subgroups

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integral unimodular groups

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MaRDI profile type

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The congruence subgroup and metaplectic problems for \(SL_{n>1}\) of division algebras

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Sous-groupes d'indice fini dans $SL\left( {n,Z} \right)$

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Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)

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Arithmetic subgroups of algebraic groups

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Groupes reductifs

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Reductive groups over a local field

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ON PROJECTIVE SIMPLICITY OF CERTAIN GROUPS OF RATIONAL POINTS OVER ALGEBRAIC NUMBER FIELDS

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Sur certains groupes simples

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Deux théorèmes d'arithmétique

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Archimedean superrigidity and hyperbolic geometry

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On Central Extensions of Rational Points of Algebraic Groups

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Minkowskische Reduktionstheorie über Funktionenkörpern

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Connection of the dual space of a group with the structure of its closed subgroups

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Some applications of the Weil representation

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One-dimensional cohomologies of discrete subgroups

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Orthogonale Gruppen über algebraischen Zahlkörpern.

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Normalteiler ganzzahliger Spingruppen.

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On the existence and irreducibility of certain series of representations

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Non-vanishing theorems for the cohomology of certain arithmetic quotients.

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Group presentation, p-adic analytic groups and lattices in \(SL_ 2({\mathbb{C}})\)

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ARITHMETIC PROPERTIES OF DISCRETE SUBGROUPS

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Arithmeticity of nonuniform lattices in weakly noncompact groups

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Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1

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Finiteness of quotient groups of discrete subgroups

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Sur les sous-groupes arithmétiques des groupes semi-simples déployés

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Finite factor groups of the unimodular group

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Zur Theorie der Siegelschen Modulgruppe

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Real vector bundles with discrete structure group

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On the first Betti number of a constant negatively curved manifold

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Group extensions of p-adic and adelic linear groups

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

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Strong approximation for semi-simple groups over function fields

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Topological central extensions of semi-simple groups over local fields. I, II

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On the congruence subgroup problem: Determination of the ''Metaplectic kernel''

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On the Kneser-Tits problem

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Computation of the metaplectic kernel

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On the congruence subgroup problem

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On the congruence subgroup problem. II

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Torsion in cocompact lattices in coverings of Spin(2,n)

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On the group of norm 1 elements in a division algebra

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A note on generators for arithmetic subgroups of algebraic groups

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MULTIPLICATIVE ARITHMETIC OF DIVISION ALGEBRAS OVER NUMBER FIELDS, AND THE METAPLECTIC PROBLEM

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Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable

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Valuation-like maps and the congruence subgroup property

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Congruence Topologies in Commutative Rings

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On finite homomorphic images of the multiplicative group of a division algebra

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Le problème des groupes de congruence pour \(SL_2\)

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Congruence subgroup problem for anisotropic groups over semilocal rings

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Generators and relations for certain special linear groups

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Algebraic and abstract simple groups

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Projective varieties with non-residually finite fundamental group

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On the congruence-subgroup problem for some anisotropic algebraic groups over number fields.

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THE STRUCTURE OF CLASSICAL ARITHMETIC GROUPS OF RANK GREATER THAN ONE

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On superrigidity and arithmeticity of lattices in semisimple groups over local fields of arbitrary characteristic

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On systems of generators of arithmetic subgroups of higher rank groups

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On the commutator subgroups of certain unitary groups

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The structure of a unitary factor group

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The Dual Space of Semi-Simple Lie Groups

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full work available at URL

https://doi.org/10.1007/bf02829437

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Identifiers

zbMATH Open document ID

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10.1007/BF02829437

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1766196

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