On the strongly ambiguous classes of some biquadratic number fields
Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous (2016)
Mathematica Bohemica
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We study the capitulation of -ideal classes of an infinite family of imaginary bicyclic biquadratic number fields consisting of fields , where and are different primes. For each of the three quadratic extensions inside the absolute genus field of , we determine a fundamental system of units and then compute the capitulation kernel of . The generators of the groups and are also determined from which we deduce that is smaller than the relative genus field . Then we prove...