Free Proalgebraic Groups
Algebraic Geometry
2024-02-14 v3 Group Theory
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.
Cite
@article{arxiv.1904.07455,
title = {Free Proalgebraic Groups},
author = {Michael Wibmer},
journal= {arXiv preprint arXiv:1904.07455},
year = {2024}
}
Comments
36 pages, final accepted version