arXiv:1808.02148 Abstract | arXiv Analytics

arXiv:1808.02148 [math.NT]Abstract References Reviews Resources

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

Published 2018-08-06Version 1

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.

Comments: 18 pages

Categories: math.NT

Keywords: quartic fields, class groups, chebotarev density theorem, upper bound, lower bound

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