Explicit methods for the Hasse norm principle and applications to<i>A</i><sub><i>n</i></sub>and<i>S</i><sub><i>n</i></sub>extensions
نویسندگان
چکیده
Abstract Let K/k be an extension of number fields. We describe theoretical results and computational methods for calculating the obstruction to Hasse norm principle defect weak approximation one torus \[R_{K/k}^1{\mathbb{G}_m}\] . apply our techniques give explicit computable formulae when normal closure has symmetric or alternating Galois group.
منابع مشابه
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ژورنال
عنوان ژورنال: Mathematical proceedings of the Cambridge Philosophical Society
سال: 2021
ISSN: ['0305-0041', '1469-8064']
DOI: https://doi.org/10.1017/s0305004121000268