Compatible valuations and generalized milnor K-theory

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Abstract

Given a field F and a subgroup S of F× there is a minimal group S ≤ HS ≤ F× for which there exists an S-compatible valuation whose units are contained in HS. Assuming that S has finite index in F× and contains (F×) p for p prime, we describe HS in computable K-theoretic terms.

Original languageEnglish
Pages (from-to)4695-4709
Number of pages15
JournalTransactions of the American Mathematical Society
Volume359
Issue number10
DOIs
StatePublished - 1 Oct 2007

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