Let p1 ≡ p2 ≡ −q ≡ 1 (mod 4) be different primes such that 2000 Mathematics Subject Classification. Primary 11R16, 11R29, 11R32, 11R37; Secondary 20D15.

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We study the capitulation of ideal classes in an infinite family of imaginary bicyclic biquadratic number fields consisting of fields k = Q( √ 2pq, i),where i = √ −1 and p ≡ −q ≡ 1 (mod 4) are different primes. For each of the three quadratic extensions K/k inside the absolute genus field k ( * ) of k, we compute the capitulation kernel of K/k. Then we deduce that each strongly ambiguous class of k/Q(i) capitulates already in k ( * ) , which is smaller than the relative genus field (k/Q(i)) * .

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