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Quartic normal extensions of the rational field

Part of: Algebraic number theory: global fields

Published online by Cambridge University Press:  09 April 2009

Tang Jian-er
Tang Jian-er
Affiliation:
Department of Information The Shanghai University of Finance and EconomicsShanghai, China
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Abstract

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There are two types of quartic normal extensions of the rational field, depending on the Galois group of the generating equation. All such extensions are described here in a uniquely parametrized form.

MSC classification

Secondary: 11R16: Cubic and quartic extensions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 3 , December 1991 , pp. 473 - 482
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Dickson, L. E., History of the theory of numbers, Vol. 2 (Chelsea, New York, 1952)Google Scholar
[2]van der Ploeg, C. E., ‘Duality in non-normal quartic fields’, Amer. Math. Monthly 94 (1987), 279–284.CrossRefGoogle Scholar