On the computation of unit groups and class groups of totally real quartic fields

Buchmann, J.; Pohst, M.; von Schmettow, J.

doi:10.1090/S0025-5718-1989-0970698-1

On the computation of unit groups and class groups of totally real quartic fields

Authors: J. Buchmann, M. Pohst and J. von Schmettow
Journal: Math. Comp. 53 (1989), 387-397
MSC: Primary 11Y40; Secondary 11R16, 11R27, 11R80
DOI: https://doi.org/10.1090/S0025-5718-1989-0970698-1
MathSciNet review: 970698
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Abstract: In this paper we describe the computation of a system of fundamental units and of the class group for each totally real quartic field $\mathcal {F}$ of discriminant less than ${10^6}$. Generating equations, integral bases, and the Galois groups for all those fields were recently given by Buchmann and Ford.

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