The differential Galois group of the maximal prounipotent extension is free

Published 26 Jan 2020 in math.AC and math.GR | (2001.09506v3)

Abstract: Let $F$ be a characteristic zero differential field with algebraically closed constant field, and consider the compositum $F_u$ of all Picard--Vessiot extensions of $F$ with unipotent differential Galois group. We prove that the group of $F$ differential automorphisms of $F_u$ is a free prounipotent group.

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Authors (1)

Andy R. Magid

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