Groupes proalgébriques libres

Translated title of the contribution: Free proalgebraic groups

Michael Wibmer*

*Corresponding author for this work

Research output: Contribution to journalArticle

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.

Original languageFrench
Article number1
Number of pages36
JournalÉpijournal de Géometrie Algébrique
Volume4
DOIs
Publication statusPublished - 19 Feb 2020

Keywords

  • Affine group schemes
  • Differential Galois theory
  • Embedding problems
  • Proalgebraic groups

ASJC Scopus subject areas

  • Geometry and Topology
  • Algebra and Number Theory

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