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Normal bases for quadratic extensions inside cyclotomic fields

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Publication:1924590
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DOI10.1007/BF01273342zbMath0867.11082MaRDI QIDQ1924590

Eugenio Jesús Gómez Ayala

Publication date: 14 August 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

quadratic extensioncyclotomic extensionnormal integral basesexplicit normal basis


Mathematics Subject Classification ID

Cyclotomic extensions (11R18) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)





Cites Work

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  • Normal integral bases in Kummer extensions of prime degree
  • Relative integral normal bases in \({\mathbb{Q}}(\zeta_ p)\)
  • Quelques Extensions Moderement Ramifiees Sans Base Normale
  • Normal integral bases and complex conjugation.




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