Pro-p Galois groups of algebraic extensions of ℚ

Ido Efrat

doi:10.1006/jnth.1997.2091

Pro-p Galois groups of algebraic extensions of ℚ

Ido Efrat

Department of Mathematics

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

23 Scopus citations

Abstract

For a prime number p we characterize the finitely generated maximal pro-p Galois groups of algebraic extensions of ℚ. This generalizes a characterization by Jensen and Prestel of the maximal abelian quotients of these Galois groups. As an application we show that the Witt rings of the algebraic extensions of ℚ with finitely many square classes have elementary type.

Original language	English
Pages (from-to)	84-99
Number of pages	16
Journal	Journal of Number Theory
Volume	64
Issue number	1
DOIs	https://doi.org/10.1006/jnth.1997.2091
State	Published - 1 Jan 1997

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jnth.1997.2091

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AB - For a prime number p we characterize the finitely generated maximal pro-p Galois groups of algebraic extensions of ℚ. This generalizes a characterization by Jensen and Prestel of the maximal abelian quotients of these Galois groups. As an application we show that the Witt rings of the algebraic extensions of ℚ with finitely many square classes have elementary type.

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Pro-p Galois groups of algebraic extensions of ℚ

Abstract

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