Projective group structures as absolute Galois structures with block approximation

2002/09/24 by Dan Haran, Haran, Dan, Moshe Jarden +3
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.math/0209414

arxiv created 2002/09/24 · arxiv updated 2009/12/01

Abstract

Field Arithmetic studies the interplay between arithmetical properties of fields and their absolute Galois groups. Here we studies fields satisfying local global principles for rational points of varieties and profinite groups satisfying local global principles for solvability of embedding problems.

Related

• Invitation to higher local fields, Part II, section 7: Recovering higher global and local fields from Galois groups - an algebraic approach
• Projective pairs of profinite groups
• Constructions using Galois Theory
• Relatively projective groups as absolute Galois groups
• Approximating Absolute Galois Groups