Gives splitting criteria for quaternion algebras over quadratic fields and complete characterization of division ones when parameters are distinct primes.
Azizi, Sur la capitulation des 2-classes d’idéaux de k = Q(√ 2pq, i), où p ≡ − q ≡ 1 (mod 4) , Acta
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On quaternion algebras that split over quadratic number fields
Gives splitting criteria for quaternion algebras over quadratic fields and complete characterization of division ones when parameters are distinct primes.