Families of Sextic Number Fields with Prescribed Indices

  • Hamid Bouaouina Faculty of Sciences Dhar El Mahraz, P.O. Box 1796 Atlas-Fes, Sidi Mohamed ben Abdellah University, Morocco and Université Polytechnique Hauts-de-France Ceramaths FR, CNRS 2037F-59313 Valenciennes, France
  • Lhoussain El Fadil Faculty of Sciences Dhar El Mahraz, P.O. Box 1796 Atlas-Fes, Sidi Mohamed ben Abdellah University, Morocco
  • Omar Kchit Graduate Normal School of Fez, Sidi Mohamed ben Abdellah University, Morocco
  • Bouchaïb Sodaïgui Université Polytechnique Hauts-de-France Ceramaths FR, CNRS 2037F-59313 Valenciennes, France
DOI: https://doi.org/10.5269/bspm.81060

Resumo

For each prime number $p \in \{2,3,5\}$, we establish sufficient conditions for a sextic number field to have a prescribed $p$-adic valuation of its index, and we illustrate our results with explicit computational examples.

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Publicado
2026-02-18
Edição
v. 44 n. 6 (2026): “Mathematics and applications”
Seção
Special Issue: Mathematics and applications

Copyright (c) 2026 Boletim da Sociedade Paranaense de Matemática

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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