Nonsolvable nonic number fields ramified only at one small prime

Sylla Lesseni[1]

  • [1] Université Bordeaux 1 Laboratoire d’Algorithmique Arithmétique 351, Cours de la Libération 33405 Talence Cedex, France.

Journal de Théorie des Nombres de Bordeaux (2006)

  • Volume: 18, Issue: 3, page 617-625
  • ISSN: 1246-7405

Abstract

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We prove that there is no primitive nonic number field ramified only at one small prime. So there is no nonic number field ramified only at one small prime and with a nonsolvable Galois group.

How to cite

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Lesseni, Sylla. "Nonsolvable nonic number fields ramified only at one small prime." Journal de Théorie des Nombres de Bordeaux 18.3 (2006): 617-625. <http://eudml.org/doc/249635>.

@article{Lesseni2006,
abstract = {We prove that there is no primitive nonic number field ramified only at one small prime. So there is no nonic number field ramified only at one small prime and with a nonsolvable Galois group.},
affiliation = {Université Bordeaux 1 Laboratoire d’Algorithmique Arithmétique 351, Cours de la Libération 33405 Talence Cedex, France.},
author = {Lesseni, Sylla},
journal = {Journal de Théorie des Nombres de Bordeaux},
keywords = {Nonic field. Galois group. Nonsolvable; Nonsolvable nonic number fields},
language = {eng},
number = {3},
pages = {617-625},
publisher = {Université Bordeaux 1},
title = {Nonsolvable nonic number fields ramified only at one small prime},
url = {http://eudml.org/doc/249635},
volume = {18},
year = {2006},
}

TY - JOUR
AU - Lesseni, Sylla
TI - Nonsolvable nonic number fields ramified only at one small prime
JO - Journal de Théorie des Nombres de Bordeaux
PY - 2006
PB - Université Bordeaux 1
VL - 18
IS - 3
SP - 617
EP - 625
AB - We prove that there is no primitive nonic number field ramified only at one small prime. So there is no nonic number field ramified only at one small prime and with a nonsolvable Galois group.
LA - eng
KW - Nonic field. Galois group. Nonsolvable; Nonsolvable nonic number fields
UR - http://eudml.org/doc/249635
ER -

References

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