Families of Sextic Number Fields with Prescribed Indices

Authors

  • 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

Abstract

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.

Downloads

Published

2026-02-18

Issue

Vol. 44 No. 6 (2026): “Mathematics and applications”

Section

Conf. Issue: Mathematics and applications

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

How to Cite

Bouaouina, H., El Fadil, L., Kchit, O. ., & Sodaïgui, B. . (2026). Families of Sextic Number Fields with Prescribed Indices. Boletim Da Sociedade Paranaense De Matemática, 44(6), 1-13. https://doi.org/10.5269/bspm.81060
Crossref
Scopus
Google Scholar
Europe PMC