Sur les extensions de ℚ à groupe de Galois S₄ et S̃₄

DOI10.4064/aa-69-3-259-276zbMath0829.11059OpenAlexW1453084159MaRDI QIDQ4763932

Arnaud Jehanne

Publication date: 28 June 1995

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206687

zbMATH Keywords

Galois groupembedding problemsymmetric groupexplicit construction of extension fieldstables of octic polynomials

Mathematics Subject Classification ID

Galois theory (11R32) Inverse Galois theory (12F12)

Related Items (7)

Relative Galois module structure of octahedral extensions ⋮ Unramified quaternion extensions of quadratic number fields ⋮ Class number one problem for normal CM-fields ⋮ Steinitz classes of Galois extensions with Galois group having nontrivial center ⋮ Maximal unramified extensions of imaginary quadratic number fields of small conductors ⋮ Maximal unramified extensions of imaginary quadratic number fields of small conductors ⋮ On the embedding problem for $2^+S_4$ representations

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