The absolute Galois group of subfields of the field of totally \(S\)-adic numbers

DOI10.7169/facm/2012.46.2.6zbMath1318.12001OpenAlexW2042707634MaRDI QIDQ449609

Moshe Jarden, Dan Haran, Florian Pop

Publication date: 31 August 2012

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1340628403

zbMATH Keywords

absolute Galois groupHaar measurefree productHilbertian fieldlocal primestotally \(S\)-adic numbers

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Hilbertian fields; Hilbert's irreducibility theorem (12E25) Field arithmetic (12E30)

Related Items

Elementary geometric local-global principles for fields, Random Galois extensions of Hilbertian fields, THE ELEMENTARY THEORY OF LARGE FIELDS OF TOTALLY -ADIC NUMBERS

Cites Work

• Subfields of ample fields. Rational maps and definability
• The absolute Galois group of a pseudo real closed algebraic field
• Galois groups of intersections of local fields
• Large normal extension of Hilbertian fields
• Embedding problems over large fields
• Solving diophantine problems modulo every prime
• Field Arithmetic
• Projective group structures as absolute Galois structures with block approximation
• The Absolute Galois Group of the Field of Totally S-Adic Numbers
• On Closed Subgroups of Free Products of Profinite Groups
• PSC Galois Extensions of Hilbertian Fields
• SUBGROUPS AND HOMOLOGY OF FREE PRODUCTS OF PROFINITE GROUPS
• Construction of coverings of pointed curves
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