Groupes proalgébriques libres

Michael Wibmer

doi:10.46298/epiga.2020.volume4.5733

Groupes proalgébriques libres

Michael Wibmer^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

Replacing finite groups by linear algebraic groups, we study an algebraic-geometric counterpart of the theory of free profinite groups. In particular, we introduce free proalgebraic groups and characterize them in terms of embedding problems. The main motivation for this endeavor is a differential analog of a conjecture of Shafarevic.

Titel in Übersetzung	Free proalgebraic groups
Originalsprache	französisch
Aufsatznummer	1
Seitenumfang	36
Fachzeitschrift	Épijournal de Géometrie Algébrique
Jahrgang	4
DOIs	https://doi.org/10.46298/epiga.2020.volume4.5733
Publikationsstatus	Veröffentlicht - 19 Feb. 2020

ASJC Scopus subject areas

Geometrie und Topologie
Algebra und Zahlentheorie

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10.46298/epiga.2020.volume4.5733

https://epiga.episciences.org/6119Lizenz: CC BY-SA 4.0

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abstract = "Replacing finite groups by linear algebraic groups, we study an algebraic-geometric counterpart of the theory of free profinite groups. In particular, we introduce free proalgebraic groups and characterize them in terms of embedding problems. The main motivation for this endeavor is a differential analog of a conjecture of Shafarevic.",

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AB - Replacing finite groups by linear algebraic groups, we study an algebraic-geometric counterpart of the theory of free profinite groups. In particular, we introduce free proalgebraic groups and characterize them in terms of embedding problems. The main motivation for this endeavor is a differential analog of a conjecture of Shafarevic.

KW - Affine group schemes

KW - Differential Galois theory

KW - Embedding problems

KW - Proalgebraic groups

UR - http://www.scopus.com/inward/record.url?scp=85093810217&partnerID=8YFLogxK

U2 - 10.46298/epiga.2020.volume4.5733

DO - 10.46298/epiga.2020.volume4.5733

M3 - Artikel

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Groupes proalgébriques libres

Abstract

ASJC Scopus subject areas

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