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Novocin, “Generating subfields,” <i>Journal of Symbolic Computation</i>, vol. 52, pp. 17–34, 2011, doi: <a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">10.1016/j.jsc.2012.05.010</a>.","apa":"van Hoeij, M., Klüners, J., &#38; Novocin, A. (2011). Generating subfields. <i>Journal of Symbolic Computation</i>, <i>52</i>, 17–34. <a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">https://doi.org/10.1016/j.jsc.2012.05.010</a>","short":"M. van Hoeij, J. Klüners, A. Novocin, Journal of Symbolic Computation 52 (2011) 17–34.","chicago":"Hoeij, Mark van, Jürgen Klüners, and Andrew Novocin. “Generating Subfields.” <i>Journal of Symbolic Computation</i> 52 (2011): 17–34. <a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">https://doi.org/10.1016/j.jsc.2012.05.010</a>."},"language":[{"iso":"eng"}],"doi":"10.1016/j.jsc.2012.05.010","year":"2011","title":"Generating subfields","publication_identifier":{"issn":["0747-7171"]},"author":[{"full_name":"van Hoeij, Mark","first_name":"Mark","last_name":"van Hoeij"},{"id":"21202","last_name":"Klüners","first_name":"Jürgen","full_name":"Klüners, Jürgen"},{"full_name":"Novocin, Andrew","last_name":"Novocin","first_name":"Andrew"}],"date_updated":"2023-03-06T09:46:15Z","publication_status":"published","intvolume":"        52","date_created":"2022-12-22T10:54:15Z","keyword":["Computational Mathematics","Algebra and Number Theory"],"type":"journal_article","department":[{"_id":"102"}],"publication":"Journal of Symbolic Computation","abstract":[{"lang":"eng","text":"Given a field extension K/k of degree n we are interested in finding the subfields of K containing k. There can be more than polynomially many subfields. We introduce the notion of generating subfields, a set of up to n subfields whose intersections give the rest. We provide an efficient algorithm which uses linear algebra in k or lattice reduction along with factorization in any extension of K. Implementations show that previously difficult cases can now be handled."}]},{"date_created":"2023-03-07T08:36:46Z","type":"journal_article","keyword":["General Mathematics"],"department":[{"_id":"102"}],"issue":"2","publication":"Experimental Mathematics","extern":"1","abstract":[{"text":"This paper classifies the maximal finite subgroups of SP₂ₙ(Q) for 1⩽n⩽11 up to GL₂ₙ(Q) conjugacy in .","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"10.1080/10586458.2011.564964","year":"2011","title":"Finite Symplectic Matrix Groups","author":[{"full_name":"Kirschmer, Markus","last_name":"Kirschmer","first_name":"Markus","id":"82258"}],"publication_identifier":{"issn":["1058-6458","1944-950X"]},"publication_status":"published","date_updated":"2023-04-04T09:24:42Z","intvolume":"        20","citation":{"mla":"Kirschmer, Markus. “Finite Symplectic Matrix Groups.” <i>Experimental Mathematics</i>, vol. 20, no. 2, Informa UK Limited, 2011, pp. 217–28, doi:<a href=\"https://doi.org/10.1080/10586458.2011.564964\">10.1080/10586458.2011.564964</a>.","bibtex":"@article{Kirschmer_2011, title={Finite Symplectic Matrix Groups}, volume={20}, DOI={<a href=\"https://doi.org/10.1080/10586458.2011.564964\">10.1080/10586458.2011.564964</a>}, number={2}, journal={Experimental Mathematics}, publisher={Informa UK Limited}, author={Kirschmer, Markus}, year={2011}, pages={217–228} }","ama":"Kirschmer M. 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These estimates, as usual, can equivalently be interpreted in terms of real quadratic fields with a fundamental unit with norm −1 and give strong evidence in the direction of a conjecture due to P. Stevenhagen."}],"issue":"3","publication":"Annals of Mathematics","department":[{"_id":"102"}],"keyword":["Statistics","Probability and Uncertainty","Mathematics (miscellaneous)"],"type":"journal_article","date_created":"2022-12-23T09:09:02Z"}]