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On cubic Galois field extensions

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Publication:1048931
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DOI10.1016/j.jnt.2009.09.001zbMath1219.12004OpenAlexW2088178526MaRDI QIDQ1048931

Lothar Häberle

Publication date: 8 January 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.09.001


zbMATH Keywords

conductorKummer theorynumber fieldcubic Galoiscyclic cubic


Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Cubic and quartic extensions (11R16) Other abelian and metabelian extensions (11R20)


Related Items (3)

Cyclicity of elliptic curves modulo primes in arithmetic progressions ⋮ On correspondence between solutions of a family of cubic Thue equations and isomorphism classes of the simplest cubic fields ⋮ One Level Density for Cubic Galois Number Fields



Cites Work

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  • Characterizing cyclic cubic extensions by automorphism polynomials
  • Automorphism polynomials in cyclic cubic extensions
  • Cyclic cubic field with explicit Artin symbols
  • Cyclic Cubic Fields of Given Conductor and Given Index
  • The Simplest Cubic Fields
  • The Galois Theory of Periodic Points of Polynomial Maps
  • A characterization of galois field extensions of degree 3


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