On quaternion algebra over the composite of quadratic number fields and over some dihedral fields
classification
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fieldsquaternionalgebrascharacterizationcompositedihedraldivisionnumber
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Let p and q be two positive primes. In this paper we obtain a complete characterization of quaternion division algebras H_K(p,q) over the composite K of n quadratic number fields. Also, in Section 6, we obtain a characterization of quaternion division algebras H_K(p,q) over some dihedral fields K.
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