Abstract
We show that a closed finite index subgroup of a free proalgebraic group is itself a free proalgebraic group. As an application, we prove that the absolute differential Galois group of a one-variable function field over an algebraically closed characteristic zero field of infinite transcendence degree is a free proalgebraic group.
Originalsprache | englisch |
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Seiten (von - bis) | 841-863 |
Seitenumfang | 23 |
Fachzeitschrift | Israel Journal of Mathematics |
Jahrgang | 253 |
Ausgabenummer | 2 |
Frühes Online-Datum | 2022 |
DOIs | |
Publikationsstatus | Veröffentlicht - März 2023 |
ASJC Scopus subject areas
- Allgemeine Mathematik