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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
MathSciNet review: 947640
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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: http://dx.doi.org/10.1090/S0002-9939-1988-0947640-3
PII: S 0002-9939(1988)0947640-3
Keywords: Cyclic quartic field, relative integral basis, relative different and discriminant
Article copyright: © Copyright 1988 American Mathematical Society