Cyclic quartic fields with relative integral bases over their quadratic subfields

Authors:
Blair K. Spearman and Kenneth S. Williams

Journal:
Proc. Amer. Math. Soc. **103** (1988), 687-694

MSC:
Primary 11R16; Secondary 11R33

DOI:
https://doi.org/10.1090/S0002-9939-1988-0947640-3

MathSciNet review:
947640

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Abstract | References | Similar Articles | Additional Information

Abstract: Explicit conditions are given for a cyclic quartic field to have a relative integral basis over its unique quadratic subfield.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1988-0947640-3

Keywords:
Cyclic quartic field,
relative integral basis,
relative different and discriminant

Article copyright:
© Copyright 1988
American Mathematical Society