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

Autor:	Wibmer, Michael
Rok vydání:	2021
Předmět:	Mathematics - Group Theory Mathematics - Commutative Algebra 14L15 14L17 34M50 12H05
Druh dokumentu:	Working Paper
Popis:	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. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2102.02553 Zobrazit plný text záznamu View this record from Arxiv