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arXiv · 1808.02148

$\ell$-torsion in class groups of certain families of $D_4$-quartic fields

Chen An
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Abstract

We prove an upper bound for $\ell$-torsion in class groups of almost all fields in certain families of $D_4$-quartic fields. Our key tools are a new Chebotarev density theorem for these families of $D_4$-quartic fields and a lower bound for the number of fields in the families.

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Chen An. 2018-08-06. $\ell$-torsion in class groups of certain families of $D_4$-quartic fields. https://arxiv.org/abs/1808.02148

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