The corestriction of valued division algebras over henselian fields II

When L/F is a tame extension of Henselian fields (i.e. char(F) [L: F]), we analyze the underlying division algebra ^CD of the corestriction cor_L/F (D) of a tame division algebra D over L with respect to the unique valuations of ^CD and D extending the valuations on F and L. We show that the value group of CD lies in the value group of D and for the center ofresidue division algebra, is the normal closure of Z(D) over F and k is an integer depending on which roots of unity lie in F and L.