Subgroups of free proalgebraic groups and Matzat's conjecture for function fields
Group Theory
2021-02-05 v1 Commutative Algebra
Abstract
We show that a closed finite index subgroup of a free proalgebraic group is itself a free proalgebraic group. Our main motivation for this result is an application in differential Galois theory: The absolute differential Galois group of a one-variable function field is a free proalgebraic group.
Keywords
Cite
@article{arxiv.2102.02553,
title = {Subgroups of free proalgebraic groups and Matzat's conjecture for function fields},
author = {Michael Wibmer},
journal= {arXiv preprint arXiv:2102.02553},
year = {2021}
}
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14 pages