[{"citation":{"ieee":"J. Karátson and B. Kovács, “Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation,” <i>Computers &#38;amp; Mathematics with Applications</i>, vol. 65, no. 3, pp. 449–459, 2012, doi: <a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">10.1016/j.camwa.2012.04.021</a>.","apa":"Karátson, J., &#38; Kovács, B. (2012). Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. <i>Computers &#38;amp; Mathematics with Applications</i>, <i>65</i>(3), 449–459. <a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">https://doi.org/10.1016/j.camwa.2012.04.021</a>","chicago":"Karátson, J., and Balázs Kovács. “Variable Preconditioning in Complex Hilbert Space and Its Application to the Nonlinear Schrödinger Equation.” <i>Computers &#38;amp; Mathematics with Applications</i> 65, no. 3 (2012): 449–59. <a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">https://doi.org/10.1016/j.camwa.2012.04.021</a>.","short":"J. Karátson, B. Kovács, Computers &#38;amp; Mathematics with Applications 65 (2012) 449–459.","mla":"Karátson, J., and Balázs Kovács. “Variable Preconditioning in Complex Hilbert Space and Its Application to the Nonlinear Schrödinger Equation.” <i>Computers &#38;amp; Mathematics with Applications</i>, vol. 65, no. 3, Elsevier BV, 2012, pp. 449–59, doi:<a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">10.1016/j.camwa.2012.04.021</a>.","bibtex":"@article{Karátson_Kovács_2012, title={Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation}, volume={65}, DOI={<a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">10.1016/j.camwa.2012.04.021</a>}, number={3}, journal={Computers &#38;amp; Mathematics with Applications}, publisher={Elsevier BV}, author={Karátson, J. and Kovács, Balázs}, year={2012}, pages={449–459} }","ama":"Karátson J, Kovács B. Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. <i>Computers &#38;amp; Mathematics with Applications</i>. 2012;65(3):449-459. doi:<a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">10.1016/j.camwa.2012.04.021</a>"},"_id":"45933","publisher":"Elsevier BV","page":"449-459","volume":65,"user_id":"100441","status":"public","date_created":"2023-07-10T11:33:50Z","department":[{"_id":"841"}],"type":"journal_article","keyword":["Computational Mathematics","Computational Theory and Mathematics","Modeling and Simulation"],"issue":"3","publication":"Computers &amp; Mathematics with Applications","language":[{"iso":"eng"}],"doi":"10.1016/j.camwa.2012.04.021","publication_identifier":{"issn":["0898-1221"]},"author":[{"last_name":"Karátson","first_name":"J.","full_name":"Karátson, J."},{"id":"100441","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","full_name":"Kovács, Balázs"}],"title":"Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation","year":"2012","intvolume":"        65","publication_status":"published","date_updated":"2024-04-03T09:23:54Z"},{"publication_identifier":{"issn":["1793-0421","1793-7310"]},"author":[{"id":"21202","last_name":"Klüners","first_name":"Jürgen","full_name":"Klüners, Jürgen"}],"year":"2012","title":"The Distribution of Number Fields with Wreath Products as Galois Groups ","intvolume":"         8","date_updated":"2023-03-02T14:10:38Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1142/s1793042112500492","publication":"International Journal of Number Theory","issue":"03","abstract":[{"text":"Let G be a wreath product of the form C₂ ≀ H, where C₂ is the cyclic group of order 2. Under mild conditions for H we determine the asymptotic behavior of the counting functions for number fields K/k with Galois group G and bounded discriminant. Those counting functions grow linearly with the norm of the discriminant and this result coincides with a conjecture of Malle. Up to a constant factor these groups have the same asymptotic behavior as the conjectured one for symmetric groups. ","lang":"eng"}],"date_created":"2022-12-22T10:55:47Z","department":[{"_id":"102"}],"type":"journal_article","status":"public","publisher":"World Scientific Pub Co Pte Lt","_id":"34847","page":"845-858","volume":"08","user_id":"21202","citation":{"chicago":"Klüners, Jürgen. “The Distribution of Number Fields with Wreath Products as Galois Groups .” <i>International Journal of Number Theory</i> 08, no. 03 (2012): 845–58. <a href=\"https://doi.org/10.1142/s1793042112500492\">https://doi.org/10.1142/s1793042112500492</a>.","short":"J. Klüners, International Journal of Number Theory 08 (2012) 845–858.","apa":"Klüners, J. (2012). The Distribution of Number Fields with Wreath Products as Galois Groups . <i>International Journal of Number Theory</i>, <i>08</i>(03), 845–858. <a href=\"https://doi.org/10.1142/s1793042112500492\">https://doi.org/10.1142/s1793042112500492</a>","ieee":"J. Klüners, “The Distribution of Number Fields with Wreath Products as Galois Groups ,” <i>International Journal of Number Theory</i>, vol. 08, no. 03, pp. 845–858, 2012, doi: <a href=\"https://doi.org/10.1142/s1793042112500492\">10.1142/s1793042112500492</a>.","ama":"Klüners J. The Distribution of Number Fields with Wreath Products as Galois Groups . <i>International Journal of Number Theory</i>. 2012;08(03):845-858. doi:<a href=\"https://doi.org/10.1142/s1793042112500492\">10.1142/s1793042112500492</a>","bibtex":"@article{Klüners_2012, title={The Distribution of Number Fields with Wreath Products as Galois Groups }, volume={08}, DOI={<a href=\"https://doi.org/10.1142/s1793042112500492\">10.1142/s1793042112500492</a>}, number={03}, journal={International Journal of Number Theory}, publisher={World Scientific Pub Co Pte Lt}, author={Klüners, Jürgen}, year={2012}, pages={845–858} }","mla":"Klüners, Jürgen. “The Distribution of Number Fields with Wreath Products as Galois Groups .” <i>International Journal of Number Theory</i>, vol. 08, no. 03, World Scientific Pub Co Pte Lt, 2012, pp. 845–58, doi:<a href=\"https://doi.org/10.1142/s1793042112500492\">10.1142/s1793042112500492</a>."},"external_id":{"arxiv":["1108.5597 "]}},{"citation":{"mla":"Kirschmer, Markus. “A Normal Form for Definite Quadratic Forms over $\\mathbb{F}_{q}[t]$.” <i>Mathematics of Computation</i>, vol. 81, no. 279, American Mathematical Society (AMS), 2012, pp. 1619–34, doi:<a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">10.1090/s0025-5718-2011-02570-6</a>.","ama":"Kirschmer M. A normal form for definite quadratic forms over $\\mathbb{F}_{q}[t]$. <i>Mathematics of Computation</i>. 2012;81(279):1619-1634. doi:<a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">10.1090/s0025-5718-2011-02570-6</a>","bibtex":"@article{Kirschmer_2012, title={A normal form for definite quadratic forms over $\\mathbb{F}_{q}[t]$}, volume={81}, DOI={<a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">10.1090/s0025-5718-2011-02570-6</a>}, number={279}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Kirschmer, Markus}, year={2012}, pages={1619–1634} }","apa":"Kirschmer, M. (2012). A normal form for definite quadratic forms over $\\mathbb{F}_{q}[t]$. <i>Mathematics of Computation</i>, <i>81</i>(279), 1619–1634. <a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">https://doi.org/10.1090/s0025-5718-2011-02570-6</a>","ieee":"M. Kirschmer, “A normal form for definite quadratic forms over $\\mathbb{F}_{q}[t]$,” <i>Mathematics of Computation</i>, vol. 81, no. 279, pp. 1619–1634, 2012, doi: <a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">10.1090/s0025-5718-2011-02570-6</a>.","short":"M. Kirschmer, Mathematics of Computation 81 (2012) 1619–1634.","chicago":"Kirschmer, Markus. “A Normal Form for Definite Quadratic Forms over $\\mathbb{F}_{q}[t]$.” <i>Mathematics of Computation</i> 81, no. 279 (2012): 1619–34. <a href=\"https://doi.org/10.1090/s0025-5718-2011-02570-6\">https://doi.org/10.1090/s0025-5718-2011-02570-6</a>."},"page":"1619-1634","_id":"42797","publisher":"American Mathematical Society (AMS)","user_id":"93826","volume":81,"status":"public","date_created":"2023-03-07T08:35:56Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Algebra and Number Theory"],"department":[{"_id":"102"}],"publication":"Mathematics of Computation","issue":"279","abstract":[{"text":"An efficient algorithm to compute automorphism groups and isometries of definite Fq[t]-lattices for odd q is presented. The algorithm requires several square root computations in Fq₂ but no enumeration of orbits having more than eight elements. ","lang":"eng"}],"extern":"1","language":[{"iso":"eng"}],"doi":"10.1090/s0025-5718-2011-02570-6","year":"2012","title":"A normal form for definite quadratic forms over $\\mathbb{F}_{q}[t]$","publication_identifier":{"issn":["0025-5718","1088-6842"]},"author":[{"id":"82258","full_name":"Kirschmer, Markus","first_name":"Markus","last_name":"Kirschmer"}],"date_updated":"2023-04-04T09:22:22Z","publication_status":"published","intvolume":"        81"},{"doi":"10.1145/1967701.1967736","user_id":"15701","_id":"16588","date_updated":"2022-01-06T06:52:52Z","publication_status":"published","title":"Variational formulation and optimal control of hybrid lagrangian systems","status":"public","year":"2011","publication_identifier":{"isbn":["9781450306294"]},"author":[{"full_name":"Flaßkamp, Kathrin","first_name":"Kathrin","last_name":"Flaßkamp"},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum"}],"type":"conference","department":[{"_id":"101"}],"date_created":"2020-04-16T05:48:06Z","publication":"Proceedings of the 14th international conference on Hybrid systems: computation and control - HSCC '11","citation":{"apa":"Flaßkamp, K., &#38; Ober-Blöbaum, S. 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Ober-Blöbaum, in: Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11, 2011.","chicago":"Flaßkamp, Kathrin, and Sina Ober-Blöbaum. “Variational Formulation and Optimal Control of Hybrid Lagrangian Systems.” In <i>Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11</i>, 2011. <a href=\"https://doi.org/10.1145/1967701.1967736\">https://doi.org/10.1145/1967701.1967736</a>.","mla":"Flaßkamp, Kathrin, and Sina Ober-Blöbaum. “Variational Formulation and Optimal Control of Hybrid Lagrangian Systems.” <i>Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11</i>, 2011, doi:<a href=\"https://doi.org/10.1145/1967701.1967736\">10.1145/1967701.1967736</a>.","ama":"Flaßkamp K, Ober-Blöbaum S. Variational formulation and optimal control of hybrid lagrangian systems. In: <i>Proceedings of the 14th International Conference on Hybrid Systems: Computation and Control - HSCC ’11</i>. ; 2011. doi:<a href=\"https://doi.org/10.1145/1967701.1967736\">10.1145/1967701.1967736</a>","bibtex":"@inproceedings{Flaßkamp_Ober-Blöbaum_2011, title={Variational formulation and optimal control of hybrid lagrangian systems}, DOI={<a href=\"https://doi.org/10.1145/1967701.1967736\">10.1145/1967701.1967736</a>}, booktitle={Proceedings of the 14th international conference on Hybrid systems: computation and control - HSCC ’11}, author={Flaßkamp, Kathrin and Ober-Blöbaum, Sina}, year={2011} }"}},{"date_updated":"2022-01-06T06:52:53Z","publication_status":"published","publication_identifier":{"issn":["0377-0427"]},"author":[{"full_name":"Klus, Stefan","last_name":"Klus","first_name":"Stefan"},{"first_name":"Tuhin","last_name":"Sahai","full_name":"Sahai, Tuhin"},{"full_name":"Liu, Cong","last_name":"Liu","first_name":"Cong"},{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"}],"title":"An efficient algorithm for the parallel solution of high-dimensional differential equations","year":"2011","status":"public","doi":"10.1016/j.cam.2010.12.026","user_id":"15701","_id":"16624","language":[{"iso":"eng"}],"page":"3053-3062","citation":{"bibtex":"@article{Klus_Sahai_Liu_Dellnitz_2011, title={An efficient algorithm for the parallel solution of high-dimensional differential equations}, DOI={<a href=\"https://doi.org/10.1016/j.cam.2010.12.026\">10.1016/j.cam.2010.12.026</a>}, journal={Journal of Computational and Applied Mathematics}, author={Klus, Stefan and Sahai, Tuhin and Liu, Cong and Dellnitz, Michael}, year={2011}, pages={3053–3062} }","ama":"Klus S, Sahai T, Liu C, Dellnitz M. An efficient algorithm for the parallel solution of high-dimensional differential equations. <i>Journal of Computational and Applied Mathematics</i>. 2011:3053-3062. doi:<a href=\"https://doi.org/10.1016/j.cam.2010.12.026\">10.1016/j.cam.2010.12.026</a>","mla":"Klus, Stefan, et al. “An Efficient Algorithm for the Parallel Solution of High-Dimensional Differential Equations.” <i>Journal of Computational and Applied Mathematics</i>, 2011, pp. 3053–62, doi:<a href=\"https://doi.org/10.1016/j.cam.2010.12.026\">10.1016/j.cam.2010.12.026</a>.","short":"S. Klus, T. Sahai, C. Liu, M. Dellnitz, Journal of Computational and Applied Mathematics (2011) 3053–3062.","chicago":"Klus, Stefan, Tuhin Sahai, Cong Liu, and Michael Dellnitz. “An Efficient Algorithm for the Parallel Solution of High-Dimensional Differential Equations.” <i>Journal of Computational and Applied Mathematics</i>, 2011, 3053–62. <a href=\"https://doi.org/10.1016/j.cam.2010.12.026\">https://doi.org/10.1016/j.cam.2010.12.026</a>.","ieee":"S. Klus, T. Sahai, C. Liu, and M. Dellnitz, “An efficient algorithm for the parallel solution of high-dimensional differential equations,” <i>Journal of Computational and Applied Mathematics</i>, pp. 3053–3062, 2011.","apa":"Klus, S., Sahai, T., Liu, C., &#38; Dellnitz, M. (2011). An efficient algorithm for the parallel solution of high-dimensional differential equations. <i>Journal of Computational and Applied Mathematics</i>, 3053–3062. <a href=\"https://doi.org/10.1016/j.cam.2010.12.026\">https://doi.org/10.1016/j.cam.2010.12.026</a>"},"publication":"Journal of Computational and Applied Mathematics","department":[{"_id":"101"}],"type":"journal_article","date_created":"2020-04-16T08:18:33Z"},{"type":"journal_article","department":[{"_id":"101"}],"date_created":"2020-04-16T08:25:21Z","publication":"IFAC Proceedings Volumes","citation":{"ieee":"M. Krüger, K. Witting, A. Trächtler, and M. Dellnitz, “Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*,” <i>IFAC Proceedings Volumes</i>, pp. 12611–12619, 2011.","mla":"Krüger, Martin, et al. “Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*.” <i>IFAC Proceedings Volumes</i>, 2011, pp. 12611–19, doi:<a href=\"https://doi.org/10.3182/20110828-6-it-1002.02487\">10.3182/20110828-6-it-1002.02487</a>.","apa":"Krüger, M., Witting, K., Trächtler, A., &#38; Dellnitz, M. (2011). Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*. <i>IFAC Proceedings Volumes</i>, 12611–12619. <a href=\"https://doi.org/10.3182/20110828-6-it-1002.02487\">https://doi.org/10.3182/20110828-6-it-1002.02487</a>","bibtex":"@article{Krüger_Witting_Trächtler_Dellnitz_2011, title={Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*}, DOI={<a href=\"https://doi.org/10.3182/20110828-6-it-1002.02487\">10.3182/20110828-6-it-1002.02487</a>}, journal={IFAC Proceedings Volumes}, author={Krüger, Martin and Witting, Katrin and Trächtler, Ansgar and Dellnitz, Michael}, year={2011}, pages={12611–12619} }","ama":"Krüger M, Witting K, Trächtler A, Dellnitz M. Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*. <i>IFAC Proceedings Volumes</i>. 2011:12611-12619. doi:<a href=\"https://doi.org/10.3182/20110828-6-it-1002.02487\">10.3182/20110828-6-it-1002.02487</a>","short":"M. Krüger, K. Witting, A. Trächtler, M. Dellnitz, IFAC Proceedings Volumes (2011) 12611–12619.","chicago":"Krüger, Martin, Katrin Witting, Ansgar Trächtler, and Michael Dellnitz. “Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*.” <i>IFAC Proceedings Volumes</i>, 2011, 12611–19. <a href=\"https://doi.org/10.3182/20110828-6-it-1002.02487\">https://doi.org/10.3182/20110828-6-it-1002.02487</a>."},"user_id":"15701","doi":"10.3182/20110828-6-it-1002.02487","page":"12611-12619","language":[{"iso":"eng"}],"_id":"16629","publication_status":"published","date_updated":"2022-01-06T06:52:53Z","year":"2011","title":"Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*","status":"public","author":[{"last_name":"Krüger","first_name":"Martin","full_name":"Krüger, Martin"},{"last_name":"Witting","first_name":"Katrin","full_name":"Witting, Katrin"},{"full_name":"Trächtler, Ansgar","last_name":"Trächtler","first_name":"Ansgar"},{"last_name":"Dellnitz","first_name":"Michael","full_name":"Dellnitz, Michael"}],"publication_identifier":{"issn":["1474-6670"]}},{"department":[{"_id":"101"}],"type":"journal_article","date_created":"2020-04-16T08:57:00Z","citation":{"apa":"Meyer, A., Dellnitz, M., &#38; Hessel-von Molo, M. (2011). Symmetries in timed continuous Petri nets. <i>Nonlinear Analysis: Hybrid Systems</i>, 125–135. <a href=\"https://doi.org/10.1016/j.nahs.2010.05.005\">https://doi.org/10.1016/j.nahs.2010.05.005</a>","ieee":"A. Meyer, M. Dellnitz, and M. Hessel-von Molo, “Symmetries in timed continuous Petri nets,” <i>Nonlinear Analysis: Hybrid Systems</i>, pp. 125–135, 2011.","short":"A. Meyer, M. Dellnitz, M. Hessel-von Molo, Nonlinear Analysis: Hybrid Systems (2011) 125–135.","chicago":"Meyer, A., M. Dellnitz, and M. Hessel-von Molo. “Symmetries in Timed Continuous Petri Nets.” <i>Nonlinear Analysis: Hybrid Systems</i>, 2011, 125–35. <a href=\"https://doi.org/10.1016/j.nahs.2010.05.005\">https://doi.org/10.1016/j.nahs.2010.05.005</a>.","mla":"Meyer, A., et al. “Symmetries in Timed Continuous Petri Nets.” <i>Nonlinear Analysis: Hybrid Systems</i>, 2011, pp. 125–35, doi:<a href=\"https://doi.org/10.1016/j.nahs.2010.05.005\">10.1016/j.nahs.2010.05.005</a>.","ama":"Meyer A, Dellnitz M, Hessel-von Molo M. Symmetries in timed continuous Petri nets. <i>Nonlinear Analysis: Hybrid Systems</i>. 2011:125-135. doi:<a href=\"https://doi.org/10.1016/j.nahs.2010.05.005\">10.1016/j.nahs.2010.05.005</a>","bibtex":"@article{Meyer_Dellnitz_Hessel-von Molo_2011, title={Symmetries in timed continuous Petri nets}, DOI={<a href=\"https://doi.org/10.1016/j.nahs.2010.05.005\">10.1016/j.nahs.2010.05.005</a>}, journal={Nonlinear Analysis: Hybrid Systems}, author={Meyer, A. and Dellnitz, M. and Hessel-von Molo, M.}, year={2011}, pages={125–135} }"},"publication":"Nonlinear Analysis: Hybrid Systems","doi":"10.1016/j.nahs.2010.05.005","user_id":"15701","_id":"16639","language":[{"iso":"eng"}],"page":"125-135","date_updated":"2022-01-06T06:52:53Z","publication_status":"published","publication_identifier":{"issn":["1751-570X"]},"author":[{"full_name":"Meyer, A.","first_name":"A.","last_name":"Meyer"},{"full_name":"Dellnitz, M.","first_name":"M.","last_name":"Dellnitz"},{"first_name":"M.","last_name":"Hessel-von Molo","full_name":"Hessel-von Molo, M."}],"title":"Symmetries in timed continuous Petri nets","year":"2011","status":"public"},{"issue":"1","publication":"Discrete & Continuous Dynamical Systems - B","citation":{"chicago":"Hage-Packhäuser, Sebastian, and Michael Dellnitz. “Stabilization via Symmetry Switching in Hybrid Dynamical Systems.” <i>Discrete &#38; Continuous Dynamical Systems - B</i> 16, no. 1 (2011): 239–63. <a href=\"https://doi.org/10.3934/dcdsb.2011.16.239\">https://doi.org/10.3934/dcdsb.2011.16.239</a>.","short":"S. Hage-Packhäuser, M. Dellnitz, Discrete &#38; Continuous Dynamical Systems - B 16 (2011) 239–263.","ieee":"S. Hage-Packhäuser and M. Dellnitz, “Stabilization via symmetry switching in hybrid dynamical systems,” <i>Discrete &#38; Continuous Dynamical Systems - B</i>, vol. 16, no. 1, pp. 239–263, 2011.","apa":"Hage-Packhäuser, S., &#38; Dellnitz, M. (2011). Stabilization via symmetry switching in hybrid dynamical systems. <i>Discrete &#38; Continuous Dynamical Systems - B</i>, <i>16</i>(1), 239–263. <a href=\"https://doi.org/10.3934/dcdsb.2011.16.239\">https://doi.org/10.3934/dcdsb.2011.16.239</a>","bibtex":"@article{Hage-Packhäuser_Dellnitz_2011, title={Stabilization via symmetry switching in hybrid dynamical systems}, volume={16}, DOI={<a href=\"https://doi.org/10.3934/dcdsb.2011.16.239\">10.3934/dcdsb.2011.16.239</a>}, number={1}, journal={Discrete &#38; Continuous Dynamical Systems - B}, author={Hage-Packhäuser, Sebastian and Dellnitz, Michael}, year={2011}, pages={239–263} }","ama":"Hage-Packhäuser S, Dellnitz M. 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Klüners, “Weighted Distribution of the 4-rank of Class Groups and Applications,” <i>International Mathematics Research Notices</i>, vol. 2011, no. 16, pp. 3618–3656, 2011, doi: <a href=\"https://doi.org/10.1093/imrn/rnq223\">10.1093/imrn/rnq223</a>.","short":"É. Fouvry, J. Klüners, International Mathematics Research Notices 2011 (2011) 3618–3656.","chicago":"Fouvry, Étienne, and Jürgen Klüners. “Weighted Distribution of the 4-Rank of Class Groups and Applications.” <i>International Mathematics Research Notices</i> 2011, no. 16 (2011): 3618–56. <a href=\"https://doi.org/10.1093/imrn/rnq223\">https://doi.org/10.1093/imrn/rnq223</a>."}},{"title":"Generating subfields","year":"2011","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"},{"first_name":"Andrew","last_name":"Novocin","full_name":"Novocin, Andrew"}],"publication_identifier":{"issn":["0747-7171"]},"date_updated":"2023-03-06T09:46:15Z","publication_status":"published","intvolume":"        52","language":[{"iso":"eng"}],"doi":"10.1016/j.jsc.2012.05.010","publication":"Journal of Symbolic Computation","abstract":[{"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.","lang":"eng"}],"date_created":"2022-12-22T10:54:15Z","type":"journal_article","keyword":["Computational Mathematics","Algebra and Number Theory"],"department":[{"_id":"102"}],"status":"public","page":"17-34","publisher":"Elsevier BV","_id":"34846","user_id":"93826","volume":52,"citation":{"bibtex":"@article{van Hoeij_Klüners_Novocin_2011, title={Generating subfields}, volume={52}, DOI={<a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">10.1016/j.jsc.2012.05.010</a>}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={van Hoeij, Mark and Klüners, Jürgen and Novocin, Andrew}, year={2011}, pages={17–34} }","ama":"van Hoeij M, Klüners J, Novocin A. Generating subfields. <i>Journal of Symbolic Computation</i>. 2011;52:17-34. doi:<a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">10.1016/j.jsc.2012.05.010</a>","mla":"van Hoeij, Mark, et al. “Generating Subfields.” <i>Journal of Symbolic Computation</i>, vol. 52, Elsevier BV, 2011, pp. 17–34, doi:<a href=\"https://doi.org/10.1016/j.jsc.2012.05.010\">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>.","ieee":"M. van Hoeij, J. Klüners, and A. 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>"}},{"doi":"10.1080/10586458.2011.564964","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-04-04T09:24:42Z","intvolume":"        20","title":"Finite Symplectic Matrix Groups","year":"2011","author":[{"id":"82258","first_name":"Markus","last_name":"Kirschmer","full_name":"Kirschmer, Markus"}],"publication_identifier":{"issn":["1058-6458","1944-950X"]},"type":"journal_article","keyword":["General Mathematics"],"department":[{"_id":"102"}],"date_created":"2023-03-07T08:36:46Z","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"}],"issue":"2","publication":"Experimental Mathematics","user_id":"93826","volume":20,"page":"217-228","publisher":"Informa UK Limited","_id":"42798","status":"public","citation":{"chicago":"Kirschmer, Markus. “Finite Symplectic Matrix Groups.” <i>Experimental Mathematics</i> 20, no. 2 (2011): 217–28. <a href=\"https://doi.org/10.1080/10586458.2011.564964\">https://doi.org/10.1080/10586458.2011.564964</a>.","short":"M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.","ieee":"M. Kirschmer, “Finite Symplectic Matrix Groups,” <i>Experimental Mathematics</i>, vol. 20, no. 2, pp. 217–228, 2011, doi: <a href=\"https://doi.org/10.1080/10586458.2011.564964\">10.1080/10586458.2011.564964</a>.","apa":"Kirschmer, M. (2011). Finite Symplectic Matrix Groups. <i>Experimental Mathematics</i>, <i>20</i>(2), 217–228. <a href=\"https://doi.org/10.1080/10586458.2011.564964\">https://doi.org/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. Finite Symplectic Matrix Groups. <i>Experimental Mathematics</i>. 2011;20(2):217-228. doi:<a href=\"https://doi.org/10.1080/10586458.2011.564964\">10.1080/10586458.2011.564964</a>","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>."}}]