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Divisibility questions in commutative algebraic groups (Q2322905)

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Language	Label	Description	Also known as
English	Divisibility questions in commutative algebraic groups	scientific article

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scholarly article

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Divisibility questions in commutative algebraic groups (English)

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Journal of Number Theory

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publication date

5 September 2019

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full work available at URL

https://arxiv.org/abs/1603.05857

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http://hdl.handle.net/21.11116/0000-0004-884D-D

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zbMATH Keywords

local-global divisibility

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commutative algebraic groups

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Tate-Shafarevich group

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MaRDI profile type

MaRDI publication profile

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On the maximal subgroups of the finite classical groups

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THE COHOMOLOGY OF ABELIAN VARIETIES OVER A NUMBER FIELD

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The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

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Arithmetic on Curves of Genus 1 : III. The Tate-Šafarevič and Selmer Groups

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Arithmetic on Curves of Genus 1. IV. Proof of the Hauptvermutung.

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Weil-Châtelet divisible elements in Tate-Shafarevich groups. II: On a question of Cassels

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Cohomology of finite groups of Lie type. I

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Cohomology of finite groups of Lie type. II

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Locally trivial torsors that are not Weil-Châtelet divisible

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On the local-global principle for divisibility in the cohomology of elliptic curves

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Local-global questions for divisibility in commutative algebraic groups

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Local-global divisibility of rational points in some commutative algebraic groups

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An analogue for elliptic curves of the Grunwald--Wang example.

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On a local-global principle for the divisibility of a rational point by a positive integer

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On the local-global divisibility of torsion points on elliptic curves and \(\operatorname{GL}_{2}\)-type varieties

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On the local-global divisibility over abelian varieties

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Cohomology of integer matrices and local-global divisibility on the torus

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Low-Dimensional Representations of Quasi-Simple Groups

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Corrigenda: Low-dimensional Representations of Quasi-simple Groups

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Cross characteristic projective representations for some classical groups

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On the minimal degrees of projective representations of the finite Chevalley groups

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Class Field Theory

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On subgroups of \(GL_ n(F_ p)\)

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Local-global divisibility by 4 in elliptic curves defined over \(\mathbb Q\)

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Elliptic curves with \(\mathbb Q({\mathcal E}[3])=\mathbb Q(\zeta_3)\) and counterexamples to local-global divisibility by 9

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On counterexamples to local-global divisibility in commutative algebraic groups

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On local-global divisibility by <i>p</i> <sup> <i>n</i> </sup> in elliptic curves

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On the minimal set for counterexamples to the local-global principle

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Counterexamples to the local-global divisibility over elliptic curves

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Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.

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Representations of Algebraic Groups

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First cohomology for finite groups of Lie type: Simple modules with small dominant weights

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The Finite Simple Groups

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Power residues on Abelian varieties

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Identifiers

zbMATH Open document ID

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10.1016/j.jnt.2019.05.007

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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:2322905

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