Michael Wibmer - Free Proalgebraic Groups

epiga:5733 - Épijournal de Géométrie Algébrique, February 19, 2020, Volume 4 - https://doi.org/10.46298/epiga.2020.volume4.5733
Free Proalgebraic GroupsArticle

Authors: Michael Wibmer

    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.

    Comment: 36 pages, final accepted version

    https://doi.org/10.46298/epiga.2020.volume4.5733
    Source: arXiv.org:1904.07455
    Volume: Volume 4
    Published on: February 19, 2020
    Accepted on: February 19, 2020
    Submitted on: August 31, 2019
    Keywords: Mathematics - Algebraic Geometry, Mathematics - Group Theory, 14L15, 14L17, 34M50, 12H05
    Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
    Funding:
      Source : OpenAIRE Graph
    • FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications; Funder: National Science Foundation; Code: 1760448
    • Galois groups of differential equations; Funder: National Science Foundation; Code: M 2582
    • FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications; Funder: National Science Foundation; Code: 1760212
    • FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications; Funder: National Science Foundation; Code: 1760413

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