Abstract
T. Nakahara proved that the set of minimal indices of bicyclic biquadratic number fields with field index is unbounded. We strengthen his result by showing that this set just coincides with the set of positive integers, and every positive integer occurs infinitely many times as minimal index of totally complex bicyclic biquadratic number fields. Moreover, we study the analogous problem for all the other possible values of the field index.
Citation
Tímea Arnóczki. Gábor Nyul. "Minimal index of bicyclic biquadratic number fields." Rocky Mountain J. Math. 50 (1) 1 - 8, Febuary 2020. https://doi.org/10.1216/rmj.2020.50.1
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