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A field F satisfies n-linkage on a subset of Ḟ if whenever the quaternion algebras
are equal in Br(F) there exist z ∈ Ḟ with
for i = 1, 2, . . ., n. This linkage of quaternion algebras is examined and its relationship to the torsion freeness of I2(F) and to the strong approximation property is investigated.
