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arXiv · 1203.0359

The Multinorm Principle For Linearly Disjoint Galois Extensions

Timothy P. Pollio·Andrei S. Rapinchuk
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Abstract

Let L_1 and L_2 be finite separable extensions of a global field K, and let E_i be the Galois closure of L_i over K for i=1,2. We establish a local-global principle for the product of norms from L_1 and L_2 (so-called multinorm principle) provided that the extensions E_1 and E_2 are linearly disjoint over K.

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Timothy P. Pollio, Andrei S. Rapinchuk. 2012-03-02. The Multinorm Principle For Linearly Disjoint Galois Extensions. https://arxiv.org/abs/1203.0359

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