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.
ASJC Scopus subject areas
- Algebra and Number Theory