Imaginary multiquadratic number fields with class group of exponent 3 and 5

Klüners, Jürgen; Komatsu, Toru

doi:10.1090/mcom/3609

Imaginary multiquadratic number fields with class group of exponent $3$ and $5$
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by Jürgen Klüners and Toru Komatsu;

Math. Comp. 90 (2021), 1483-1497

DOI: https://doi.org/10.1090/mcom/3609

Published electronically: January 26, 2021

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Abstract:

In this paper we obtain a complete list of imaginary $n$-quadratic fields with class groups of exponent $3$ and $5$ under extended Riemann hypothesis for every positive integer $n$ where an $n$-quadratic field is a number field of degree $2^n$ represented as the composite of $n$-quadratic fields.

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