Pro-p Galois groups of algebraic extensions of Q

[摘要] 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. (C) 1997 Academic Press.

[发布日期] 1997-05-01