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 language | English |
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Pages (from-to) | 841-863 |
Number of pages | 23 |
Journal | Israel Journal of Mathematics |
Volume | 253 |
Issue number | 2 |
Early online date | 2022 |
DOIs | |
Publication status | Published - Mar 2023 |
ASJC Scopus subject areas
- General Mathematics