The nonexistence of nonsolvable octic number fields ramified only at one small prime
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Abstract:
We prove that there is no primitive octic number field ramified only at one small prime, and so no such number field with a nonsolvable Galois group.References
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Additional Information
- Lesseni Sylla
- Affiliation: Université Bordeaux 1, Laboratoire d’Algorithmique Arithmétique, 351, Cours de la Libération, 33405 Talence Cedex, France
- Email: Sylla.Lesseni@math.u-bordeaux1.fr
- Received by editor(s): November 10, 2004
- Received by editor(s) in revised form: May 3, 2005
- Published electronically: May 1, 2006
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 75 (2006), 1519-1526
- MSC (2000): Primary 11Y40; Secondary 11R21
- DOI: https://doi.org/10.1090/S0025-5718-06-01827-8
- MathSciNet review: 2219042