Large normal extension of Hilbertian fields

DOI10.1007/PL00004298zbMath0873.12001OpenAlexW2084114773MaRDI QIDQ1358226

Moshe Jarden

Publication date: 3 July 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004298

zbMATH Keywords

absolute Galois grouprational pointdecidabilitypseudo algebraically closed fieldcountable separably Hilbertian field

Mathematics Subject Classification ID

Decidability and field theory (12L05) Hilbertian fields; Hilbert's irreducibility theorem (12E25) Field extensions (12F99)

Related Items (9)

Kuykian fields ⋮ On a question of Abraham Robinson ⋮ Abundance of Hilbertian domains ⋮ Random Galois extensions of Hilbertian fields ⋮ The absolute Galois group of subfields of the field of totally \(S\)-adic numbers ⋮ Heegner points and Mordell-Weil groups of elliptic curves over large fields ⋮ Free subgroups of finitely generated free profinite groups ⋮ The Absolute Galois Group of the Field of Totally S-Adic Numbers ⋮ Nondefinability of rings of integers in most algebraic fields

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