JP Journal of Algebra, Number Theory and Applications
Volume 41, Issue 2, Pages 219 - 243
(February 2019) http://dx.doi.org/10.17654/NT041020219 |
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PÓLYA FIELDS THAT ARE SPLITTING FIELDS OF S3-FIELDS
Gérard Kientéga, Théodore Tapsoba and Charles Wend-Waoga Tougma
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Abstract: A number field is called a Pólya field if the module of integer-valued polynomials over its ring of integers has a regular basis. A cubic field is a S3-field if the Galois group of its splitting field is isomorphic to the symmetric group S3. In this paper, we characterize Pólya fields that are splitting fields of S3-fields. |
Keywords and phrases: cubic fields, regular basis, principal ideals, ramification.
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