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On generic polynomials

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Publication:1870087
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DOI10.1016/S0021-8693(02)00678-6zbMath1021.12004MaRDI QIDQ1870087

Frank R. DeMeyer, Thomas McKenzie

Publication date: 4 May 2003

Published in: Journal of Algebra (Search for Journal in Brave)


zbMATH Keywords

lifting propertyretract rational extensiongeneric Galois extensiondescent generic polynomial


Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10)


Related Items

Noether’s Problem for Some p-Groups, On 𝐷_{𝑝}-extensions in characteristic 𝑝, Retract rational fields, ON THE FIELD INTERSECTION PROBLEM OF SOLVABLE QUINTIC GENERIC POLYNOMIALS, Noether's problem for metacyclic \(p\)-groups, Noether's problem and $\mathbb{Q}$-generic polynomials for the normalizer of the $8$-cycle in $S_8$ and its subgroups, Noether's problem for four- and five-dimensional linear actions, Rationality for Subgroups ofS6



Cites Work

  • Unnamed Item
  • Generic polynomials
  • Generic Galois extensions and problems in field theory
  • Separable algebras over commutative rings
  • On Grunwald's theorem
  • Generic cyclic polynomials of odd degree
  • Generic extensions and generic polynomials
  • Generic polynomials are descent-generic
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