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.

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

Funding:

- Source : OpenAIRE Graph
*FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications*; Funder: National Science Foundation; Code: 1760448*FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications*; Funder: National Science Foundation; Code: 1760413*Galois groups of differential equations*; Funder: Austrian Science Fund (FWF); Code: M 2582*FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications*; Funder: National Science Foundation; Code: 1760212

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