Compatible valuations and generalized milnor K-theory

Ido Efrat

doi:10.1090/S0002-9947-07-04132-3

Compatible valuations and generalized milnor K-theory

Ido Efrat

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	4695-4709
Number of pages	15
Journal	Transactions of the American Mathematical Society
Volume	359
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9947-07-04132-3
State	Published - 1 Oct 2007

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-07-04132-3

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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.",

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AB - 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.

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Compatible valuations and generalized milnor K-theory

Abstract

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