Subgroups of free proalgebraic groups and Matzat’s conjecture for function fields

Michael Wibmer

doi:10.1007/s11856-022-2383-6

Subgroups of free proalgebraic groups and Matzat’s conjecture for function fields

Michael Wibmer^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

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
Seiten (von - bis)	841-863
Seitenumfang	23
Fachzeitschrift	Israel Journal of Mathematics
Jahrgang	253
Ausgabenummer	2
Frühes Online-Datum	2022
DOIs	https://doi.org/10.1007/s11856-022-2383-6
Publikationsstatus	Veröffentlicht - März 2023

ASJC Scopus subject areas

Allgemeine Mathematik

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10.1007/s11856-022-2383-6

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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.",

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Subgroups of free proalgebraic groups and Matzat’s conjecture for function fields

Abstract

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