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Subgroups of free proalgebraic groups and Matzat's conjecture for function fields
- Publication Year :
- 2021
-
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.<br />Comment: 14 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2102.02553
- Document Type :
- Working Paper