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math.AG2021
Étale difference algebraic groups
Michael Wibmer
Étale difference algebraic groups are a difference analog of étale algebraic groups. Our main result is a Jordan-Hölder type decomposition theorem for these groups. Roughly speakin…
math.CT2021
Difference Galois theory and dynamics
Ivan Tomasic, Michael Wibmer
We develop a Galois theory for difference ring extensions, inspired by Magid's separable Galois theory for ring extensions and by Janelidze's categorical Galois theory. Our differe…
math.GR2021
Subgroups of free proalgebraic groups and Matzat's conjecture for function fields
Michael Wibmer
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…