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The absolute Galois group of a Hilbertian PRC field

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Publication:1320029
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DOI10.1007/BF02758638zbMath0794.12001MaRDI QIDQ1320029

Michael D. Fried, Helmut Voelklein

Publication date: 8 September 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Hilbertian fieldsabsolute Galois groupsPRC-fieldspseudo-algebraic closed fields


Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12) Hilbertian fields; Hilbert's irreducibility theorem (12E25)




Cites Work

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  • Closed subgroups of G(Q) with involutions
  • The elementary theory of large e-fold ordered fields
  • Real free groups and the absolute Galois group of \(R(t)\)
  • The absolute Galois group of a pseudo real closed algebraic field
  • The inverse Galois problem and rational points on moduli spaces
  • The embedding problem over a Hilbertian PAC-field
  • Cohomologie galoisienne. Cours au Collège de France, 1962--1963. Seconde édition.
  • On solvable extensions of algebraic number fields
  • Der Hilbertsche Irreduzibilitätssatz.
  • Endliche Gruppen I




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