The corestriction op valued division algebras over henselian fields I

Yoon Sung Hwang

doi:10.2140/pjm.1995.170.53

The corestriction op valued division algebras over henselian fields I

Yoon Sung Hwang^*

^*Corresponding author for this work

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Abstract

When L/F is an unramified extension of Henselian fields, 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 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.

Original language	English
Pages (from-to)	53-81
Number of pages	29
Journal	Pacific Journal of Mathematics
Volume	170
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1995.170.53
Publication status	Published - 1995 Sept

ASJC Scopus subject areas

General Mathematics

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title = "The corestriction op valued division algebras over henselian fields I",

abstract = "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.",

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year = "1995",

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AB - 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.

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The corestriction op valued division algebras over henselian fields I

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