Pro-p Galois groups of function fields over local fields

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6 Scopus citations

Abstract

For non-archimedean local field K and a prime number p we compute the finitely generated pro-p (closed) subgroups of the absolute Galois group of K(t). In addition, we characterize the finitely generated pro-p groups which occur as the maximal pro-p Galois group of algebraic extensions of K(t) containing a primitive pth root of unity.

Original languageEnglish
Pages (from-to)2999-3021
Number of pages23
JournalCommunications in Algebra
Volume28
Issue number6
DOIs
StatePublished - 1 Jan 2000

ASJC Scopus subject areas

  • Algebra and Number Theory

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