The Multinorm Principle For Linearly Disjoint Galois Extensions
Number Theory
2012-03-05 v1
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.
Keywords
Cite
@article{arxiv.1203.0359,
title = {The Multinorm Principle For Linearly Disjoint Galois Extensions},
author = {Timothy P. Pollio and Andrei S. Rapinchuk},
journal= {arXiv preprint arXiv:1203.0359},
year = {2012}
}