This webpage is outdated.

If you have not been redirected automatically in a few (3) seconds, click here for the current webpage.

Detecting valuations using small Galois groups


Year: 2013

Valuation Theory in Interaction (Proceedings of the 2nd International Conference on Valuation Theory)

Available versions: External

Abstract: In this note we show how to detect valuations using almost-abelian pro-$\ell$ Galois groups of a field. In particular, we show that "commuting-liftable" subgroups of Galois groups arise, in a controlled way, from Kummer-duals of (principal-)units of valuations.