Deformations of dihedral 2-group extensions of fields

DOI10.1090/S0002-9947-99-02135-2zbMath0931.12005OpenAlexW1921703228MaRDI QIDQ4243642

Elena V. Black

Publication date: 19 May 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02135-2

zbMATH Keywords

branched coveringdihedral groupembedding problemGalois extensiongeneric extensionHilbert irreducibility theoremarithmetic lifting

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12)

Related Items (6)

Unnamed Item ⋮ Galois covers of \(\mathbb P^1\) over \(\mathbb Q\) with prescribed local or global behavior by specialization ⋮ On a variant of the Beckmann–Black problem ⋮ Lifting wreath product extensions ⋮ Relative Embedding Problems ⋮ Generic polynomials with few parameters

Cites Work

• Unnamed Item
• Generic Galois extensions and problems in field theory
• Arithmetic lifting of dihedral extensions
• Is every extension of \(\mathbb{Q}\) the specialization of a branched covering?
• Invariant rational functions and a problem of Steenrod
• Introduction to Grothendieck duality theory
• Explicit Classifications of Some 2-Extensions of a Field of Characteristic Different from 2

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