Nicely semiramified division algebras over Henselian fields

Abstract

This paper deals with the structure of nicely semiramified valued division algebras. We prove that any defectless finite‐dimensional central division algebra over a Henselian field E with an inertial maximal subfield and a totally ramified maximal subfield (not necessarily of radical type) (resp., split by inertial and totally ramified field extensions of E ) is nicely semiramified.