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In the primitive case we use known subgroups of the Galois group together with a combination of Stauduhar’s method and the absolute resolvent method.","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"10.1006/jsco.2000.0377","publication_identifier":{"issn":["0747-7171"]},"author":[{"last_name":"Geissler","first_name":"Katharina","full_name":"Geissler, Katharina"},{"full_name":"Klüners, Jürgen","last_name":"Klüners","first_name":"Jürgen","id":"21202"}],"title":"Galois Group Computation for Rational Polynomials","year":"2000","intvolume":"        30","publication_status":"published","date_updated":"2023-03-06T09:58:06Z"},{"user_id":"93826","volume":30,"page":"239-252","publisher":"Elsevier BV","_id":"34901","status":"public","citation":{"mla":"Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability of Norm Equations.” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, Elsevier BV, 2000, pp. 239–52, doi:<a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>.","ama":"Acciaro V, Klüners J. Computing Local Artin Maps, and Solvability of Norm Equations. <i>Journal of Symbolic Computation</i>. 2000;30(3):239-252. doi:<a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>","bibtex":"@article{Acciaro_Klüners_2000, title={Computing Local Artin Maps, and Solvability of Norm Equations}, volume={30}, DOI={<a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>}, number={3}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Acciaro, Vincenzo and Klüners, Jürgen}, year={2000}, pages={239–252} }","apa":"Acciaro, V., &#38; Klüners, J. (2000). Computing Local Artin Maps, and Solvability of Norm Equations. <i>Journal of Symbolic Computation</i>, <i>30</i>(3), 239–252. <a href=\"https://doi.org/10.1006/jsco.2000.0361\">https://doi.org/10.1006/jsco.2000.0361</a>","ieee":"V. Acciaro and J. Klüners, “Computing Local Artin Maps, and Solvability of Norm Equations,” <i>Journal of Symbolic Computation</i>, vol. 30, no. 3, pp. 239–252, 2000, doi: <a href=\"https://doi.org/10.1006/jsco.2000.0361\">10.1006/jsco.2000.0361</a>.","short":"V. Acciaro, J. Klüners, Journal of Symbolic Computation 30 (2000) 239–252.","chicago":"Acciaro, Vincenzo, and Jürgen Klüners. “Computing Local Artin Maps, and Solvability of Norm Equations.” <i>Journal of Symbolic Computation</i> 30, no. 3 (2000): 239–52. <a href=\"https://doi.org/10.1006/jsco.2000.0361\">https://doi.org/10.1006/jsco.2000.0361</a>."},"doi":"10.1006/jsco.2000.0361","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-03-06T09:57:34Z","intvolume":"        30","year":"2000","title":"Computing Local Artin Maps, and Solvability of Norm Equations","author":[{"full_name":"Acciaro, Vincenzo","first_name":"Vincenzo","last_name":"Acciaro"},{"id":"21202","full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners"}],"publication_identifier":{"issn":["0747-7171"]},"type":"journal_article","keyword":["Computational Mathematics","Algebra and Number Theory"],"department":[{"_id":"102"}],"date_created":"2022-12-23T09:58:48Z","abstract":[{"lang":"eng","text":"Let L = K(α) be an Abelian extension of degree n of a number field K, given by the minimal polynomial of α over K. We describe an algorithm for computing the local Artin map associated with the extension L / K at a finite or infinite prime v of K. We apply this algorithm to decide if a nonzero a ∈ K is a norm from L, assuming that L / K is cyclic."}],"publication":"Journal of Symbolic Computation","issue":"3"}]
