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

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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.
Original languageEnglish
Number of pages23
JournalIsrael Journal of Mathematics
Early online date2022
DOIs
Publication statusE-pub ahead of print - 2022

ASJC Scopus subject areas

  • Mathematics(all)

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