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On metacyclic extensions

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Publication:713175
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DOI10.5802/jtnb.799zbMath1280.11066OpenAlexW2107272360MaRDI QIDQ713175

Masanari Kida

Publication date: 26 October 2012

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4f27f6c1d653581724b3994982ce3b0af8d9b7f0


Mathematics Subject Classification ID

Group schemes (14L15) Other abelian and metabelian extensions (11R20)


Related Items

Arithmetically equivalent fields in a Galois extension with Frobenius Galois group of 2-power degree, On Lecacheux's family of quintic polynomials


Uses Software

  • Magma


Cites Work

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  • A note on the construction of metacyclic extensions
  • The Magma algebra system. I: The user language
  • Descent Kummer theory via Weil restriction of multiplicative groups
  • A Kummer Theoretic Construction of an S3-Polynomial with Given Quadratic Subfield
  • CLASSIFYING BRUMER'S QUINTIC POLYNOMIALS BY WEAK MORDELL–WEIL GROUPS
  • Constructions de polynômes génériques à groupe de Galois résoluble
  • Galois descent and twists of an abelian variety
  • Advanced Topics in Computional Number Theory
  • Algorithmic Number Theory
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