On the capitulation of the $2$-ideal classes of the field Q(\sqrt{pq_1q_2}, i) of type (2, 2, 2)
DOI:
https://doi.org/10.5269/bspm.v38i4.36793Keywords:
absolute genus fields, fundamental systems of units, $2$-class group, capitulation, quadratic fields, biquadratic fields, multiquadratic CM-fieldsAbstract
We study the capitulation of the 2-ideal classes of the field k =Q(\sqrt{p_1p_2q}, \sqrt{-1}), where p_1\equiv p_2\equiv-q\equiv1 \pmod 4 are different primes, in its three quadratic extensions contained in its absolute genus field k^{*} whenever the 2-class group of $\kk$ is of type $(2, 2, 2)$.Downloads
Published
2019-03-10
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Research Articles
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