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Some contributions to the theory of cyclic quartic extensions of the rationals

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Publication:1137069
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DOI10.1016/0022-314X(80)90075-XzbMath0428.12002MaRDI QIDQ1137069

Hugh Edgar, Brian L. Peterson

Publication date: 1980

Published in: Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

even class numberrelative integral basiscyclic quartic extensionodd class number


Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33)


Related Items (6)

Algebraic number fields ⋮ Generic cyclic polynomials of odd degree ⋮ On relative integral bases for cyclic quartic fields ⋮ The integers of a cyclic quartic field ⋮ On class numbers of imaginary quadratic and quartic fields ⋮ Cyclic quartic fields and genus theory of their subfields



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