PÓLYA FIELDS THAT ARE SPLITTING FIELDS OF S3-FIELDS
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.
cubic fields, regular basis, principal ideals, ramification.
