When L/F is an unramified extension of Henselian fields, we analyze the underlying division algebra CD of the corestriction corL/F (D) of a tame division algebra D over L with respect to the unique valuations on 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 of residue 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.
|Number of pages||29|
|Journal||Pacific Journal of Mathematics|
|Publication status||Published - 1995|
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