Submission date: 7 October 2019

Abstract:

This short note is an extension of our recent work. We study μ-stabilizers for groups definable in ACVF in the valued field sort. We prove that Stab^μ(p) is an infinite definable subgroup of G when p is standard and unbounded. In the particular case when G is affine algebraic, we show that Stab^μ(p) is a solvable algebraic subgroup of G, with dim(Stab^μ(p))=dim(p) when p is μ-reduced.

Mathematics Subject Classification:

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Full text arXiv 1910.02888: pdf, ps.