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

Journal Article

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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Duke Authors

Cited Authors

  • An, C