Abstract
For an abelian number field F and an odd prime number p which does not divide the degree [F:ℚ], we propose a new algorithm for computing the p-primary part of the ideal class group of F using Gauss sums and cyclotomic units.
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Aoki, M., Fukuda, T. (2006). An Algorithm for Computing p-Class Groups of Abelian Number Fields. In: Hess, F., Pauli, S., Pohst, M. (eds) Algorithmic Number Theory. ANTS 2006. Lecture Notes in Computer Science, vol 4076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11792086_5
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DOI: https://doi.org/10.1007/11792086_5
Publisher Name: Springer, Berlin, Heidelberg
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