The Multinorm Principle For Linearly Disjoint Galois Extensions
Abstract
Let L1 and L2 be finite separable extensions of a global field K, and let Ei be the Galois closure of Li over K for i=1,2. We establish a local-global principle for the product of norms from L1 and L2 (so-called multinorm principle) provided that the extensions E1 and E2 are linearly disjoint over K.
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