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arXiv · 2509.13153

Class numbers of Imaginary bicyclic biquadratic number fields

Anuj Jakhar·Ravi Kalwaniya·Mahesh Kumar Ram
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Abstract

For any fixed positive integer $n$, we provide a method to compute all imaginary bicyclic biquadratic number fields with class number $n$, along with their class group structures, using the list of all imaginary quadratic number fields whose class numbers divide $2n$. We apply this method to list all imaginary bicyclic biquadratic number fields with class numbers $4$, $6$ and $7$. We also present the class group structure of each subfield of these fields.

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Anuj Jakhar, Ravi Kalwaniya, Mahesh Kumar Ram. 2025-09-16. Class numbers of Imaginary bicyclic biquadratic number fields. https://arxiv.org/abs/2509.13153

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