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The nonexistence of nonsolvable octic number fields ramified only at one small prime

Author(s): Lesseni Sylla.
Journal: Math. Comp. 75 (2006), 1519-1526.
MSC (2000): Primary 11Y40; Secondary 11R21
Posted: May 1, 2006
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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.

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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

DOI: 10.1090/S0025-5718-06-01827-8
PII: S 0025-5718(06)01827-8
Keywords: Number field, nonsolvable
Received by editor(s): November 10, 2004
Received by editor(s) in revised form: May 3, 2005
Posted: May 1, 2006
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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