[{"title":"The Distribution of Number Fields with Wreath Products as Galois Groups ","publisher":"World Scientific Pub Co Pte Lt","date_created":"2022-12-22T10:55:47Z","year":"2012","issue":"03","language":[{"iso":"eng"}],"external_id":{"arxiv":["1108.5597 "]},"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"}],"publication":"International Journal of Number Theory","doi":"10.1142/s1793042112500492","date_updated":"2023-03-02T14:10:38Z","volume":"08","author":[{"last_name":"Klüners","id":"21202","full_name":"Klüners, Jürgen","first_name":"Jürgen"}],"page":"845-858","intvolume":"         8","citation":{"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>.","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>.","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>","short":"J. Klüners, International Journal of Number Theory 08 (2012) 845–858.","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>.","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>"},"publication_identifier":{"issn":["1793-0421","1793-7310"]},"publication_status":"published","_id":"34847","department":[{"_id":"102"}],"user_id":"21202","status":"public","type":"journal_article"},{"year":"2012","citation":{"short":"M. Kirschmer, Mathematics of Computation 81 (2012) 1619–1634.","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>.","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>","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>.","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>.","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>"},"intvolume":"        81","page":"1619-1634","publication_status":"published","publication_identifier":{"issn":["0025-5718","1088-6842"]},"issue":"279","title":"A normal form for definite quadratic forms over $\\mathbb{F}_{q}[t]$","doi":"10.1090/s0025-5718-2011-02570-6","publisher":"American Mathematical Society (AMS)","date_updated":"2023-04-04T09:22:22Z","author":[{"first_name":"Markus","full_name":"Kirschmer, Markus","id":"82258","last_name":"Kirschmer"}],"date_created":"2023-03-07T08:35:56Z","volume":81,"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. 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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>.","ieee":"K. Flaßkamp and S. 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.","ama":"Flaßkamp K, Ober-Blöbaum S. Variational formulation and optimal control of hybrid lagrangian systems. 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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>","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.","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>"},"page":"3053-3062","publication_status":"published","publication_identifier":{"issn":["0377-0427"]},"title":"An efficient algorithm for the parallel solution of high-dimensional differential equations","doi":"10.1016/j.cam.2010.12.026","date_updated":"2022-01-06T06:52:53Z","author":[{"full_name":"Klus, Stefan","last_name":"Klus","first_name":"Stefan"},{"last_name":"Sahai","full_name":"Sahai, Tuhin","first_name":"Tuhin"},{"last_name":"Liu","full_name":"Liu, Cong","first_name":"Cong"},{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"}],"date_created":"2020-04-16T08:18:33Z"},{"title":"Parametric Model-Order Reduction in Hierarchical Multiobjective Optimization of Mechatronic Systems*","doi":"10.3182/20110828-6-it-1002.02487","date_updated":"2022-01-06T06:52:53Z","date_created":"2020-04-16T08:25:21Z","author":[{"last_name":"Krüger","full_name":"Krüger, Martin","first_name":"Martin"},{"first_name":"Katrin","last_name":"Witting","full_name":"Witting, Katrin"},{"full_name":"Trächtler, Ansgar","last_name":"Trächtler","first_name":"Ansgar"},{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"}],"year":"2011","page":"12611-12619","citation":{"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>","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.","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>.","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>","short":"M. Krüger, K. Witting, A. Trächtler, M. Dellnitz, IFAC Proceedings Volumes (2011) 12611–12619.","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} }","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>."},"publication_identifier":{"issn":["1474-6670"]},"publication_status":"published","language":[{"iso":"eng"}],"_id":"16629","department":[{"_id":"101"}],"user_id":"15701","status":"public","publication":"IFAC Proceedings Volumes","type":"journal_article"},{"author":[{"full_name":"Meyer, A.","last_name":"Meyer","first_name":"A."},{"last_name":"Dellnitz","full_name":"Dellnitz, M.","first_name":"M."},{"first_name":"M.","full_name":"Hessel-von Molo, M.","last_name":"Hessel-von Molo"}],"date_created":"2020-04-16T08:57:00Z","date_updated":"2022-01-06T06:52:53Z","doi":"10.1016/j.nahs.2010.05.005","title":"Symmetries in timed continuous Petri nets","publication_status":"published","publication_identifier":{"issn":["1751-570X"]},"citation":{"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>.","short":"A. Meyer, M. Dellnitz, M. Hessel-von Molo, Nonlinear Analysis: Hybrid Systems (2011) 125–135.","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} }","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.","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>.","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>"},"page":"125-135","year":"2011","user_id":"15701","department":[{"_id":"101"}],"_id":"16639","language":[{"iso":"eng"}],"type":"journal_article","publication":"Nonlinear Analysis: Hybrid Systems","status":"public"},{"status":"public","type":"journal_article","publication":"Discrete & Continuous Dynamical Systems - B","language":[{"iso":"eng"}],"user_id":"47427","department":[{"_id":"101"}],"_id":"17034","citation":{"ama":"Hage-Packhäuser S, Dellnitz M. Stabilization via symmetry switching in hybrid dynamical systems. <i>Discrete &#38; Continuous Dynamical Systems - B</i>. 2011;16(1):239-263. doi:<a href=\"https://doi.org/10.3934/dcdsb.2011.16.239\">10.3934/dcdsb.2011.16.239</a>","ieee":"S. Hage-Packhäuser and M. 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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"}],"publication":"Journal of Symbolic Computation","title":"Generating subfields","publisher":"Elsevier BV","date_created":"2022-12-22T10:54:15Z","year":"2011"},{"publication":"Experimental Mathematics","type":"journal_article","abstract":[{"lang":"eng","text":"This paper classifies the maximal finite subgroups of SP₂ₙ(Q) for 1⩽n⩽11 up to GL₂ₙ(Q) conjugacy in ."}],"status":"public","_id":"42798","department":[{"_id":"102"}],"user_id":"93826","keyword":["General Mathematics"],"extern":"1","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1058-6458","1944-950X"]},"publication_status":"published","issue":"2","year":"2011","intvolume":"        20","page":"217-228","citation":{"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} }","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>.","short":"M. Kirschmer, Experimental Mathematics 20 (2011) 217–228.","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>","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>","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>.","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>."},"date_updated":"2023-04-04T09:24:42Z","publisher":"Informa UK Limited","volume":20,"author":[{"first_name":"Markus","full_name":"Kirschmer, Markus","id":"82258","last_name":"Kirschmer"}],"date_created":"2023-03-07T08:36:46Z","title":"Finite Symplectic Matrix Groups","doi":"10.1080/10586458.2011.564964"},{"publication":"Nonlinear Science and Complexity","type":"book_chapter","status":"public","department":[{"_id":"101"}],"user_id":"15701","_id":"16575","publication_identifier":{"isbn":["9789048198832","9789048198849"]},"publication_status":"published","citation":{"chicago":"Dellnitz, Michael, Kathrin Padberg, Robert Preis, and Bianca Thiere. “Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem.” In <i>Nonlinear Science and Complexity</i>. Dordrecht, 2010. <a href=\"https://doi.org/10.1007/978-90-481-9884-9_12\">https://doi.org/10.1007/978-90-481-9884-9_12</a>.","ieee":"M. Dellnitz, K. Padberg, R. Preis, and B. Thiere, “Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem,” in <i>Nonlinear Science and Complexity</i>, Dordrecht, 2010.","ama":"Dellnitz M, Padberg K, Preis R, Thiere B. Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. In: <i>Nonlinear Science and Complexity</i>. Dordrecht; 2010. doi:<a href=\"https://doi.org/10.1007/978-90-481-9884-9_12\">10.1007/978-90-481-9884-9_12</a>","apa":"Dellnitz, M., Padberg, K., Preis, R., &#38; Thiere, B. (2010). Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem. In <i>Nonlinear Science and Complexity</i>. Dordrecht. <a href=\"https://doi.org/10.1007/978-90-481-9884-9_12\">https://doi.org/10.1007/978-90-481-9884-9_12</a>","short":"M. Dellnitz, K. Padberg, R. Preis, B. Thiere, in: Nonlinear Science and Complexity, Dordrecht, 2010.","mla":"Dellnitz, Michael, et al. “Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem.” <i>Nonlinear Science and Complexity</i>, 2010, doi:<a href=\"https://doi.org/10.1007/978-90-481-9884-9_12\">10.1007/978-90-481-9884-9_12</a>.","bibtex":"@inbook{Dellnitz_Padberg_Preis_Thiere_2010, place={Dordrecht}, title={Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem}, DOI={<a href=\"https://doi.org/10.1007/978-90-481-9884-9_12\">10.1007/978-90-481-9884-9_12</a>}, booktitle={Nonlinear Science and Complexity}, author={Dellnitz, Michael and Padberg, Kathrin and Preis, Robert and Thiere, Bianca}, year={2010} }"},"place":"Dordrecht","year":"2010","author":[{"last_name":"Dellnitz","full_name":"Dellnitz, Michael","first_name":"Michael"},{"full_name":"Padberg, Kathrin","last_name":"Padberg","first_name":"Kathrin"},{"last_name":"Preis","full_name":"Preis, Robert","first_name":"Robert"},{"full_name":"Thiere, Bianca","last_name":"Thiere","first_name":"Bianca"}],"date_created":"2020-04-16T05:06:58Z","date_updated":"2022-01-06T06:52:52Z","doi":"10.1007/978-90-481-9884-9_12","title":"Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem"}]