The corestriction of valued division algebras over henselian fields II

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Abstract

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 corL/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.

Original languageEnglish
Pages (from-to)83-103
Number of pages21
JournalPacific Journal of Mathematics
Volume170
Issue number1
Publication statusPublished - 1995

ASJC Scopus subject areas

  • Mathematics(all)

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