Pro-p Galois groups of function fields over local fields

Ido Efrat

doi:10.1080/00927870008827005

Pro-p Galois groups of function fields over local fields

Ido Efrat

Department of Mathematics

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

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 language	English
Pages (from-to)	2999-3021
Number of pages	23
Journal	Communications in Algebra
Volume	28
Issue number	6
DOIs	https://doi.org/10.1080/00927870008827005
State	Published - 1 Jan 2000

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927870008827005

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title = "Pro-p Galois groups of function fields over local fields",

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.",

author = "Ido Efrat",

year = "2000",

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doi = "10.1080/00927870008827005",

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0034340785

U2 - 10.1080/00927870008827005

DO - 10.1080/00927870008827005

M3 - Article

AN - SCOPUS:0034340785

SN - 0092-7872

VL - 28

SP - 2999

EP - 3021

JO - Communications in Algebra

JF - Communications in Algebra

IS - 6

ER -

Pro-p Galois groups of function fields over local fields

Abstract

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