[{"date_created":"2024-06-13T10:54:22Z","publisher":"Cambridge University Press (CUP)","language":[{"iso":"eng"}],"publication_identifier":{"issn":["2732-527X"]},"year":"2024","status":"public","_id":"54737","date_updated":"2024-06-13T11:37:00Z","conference":{"end_date":"2024-05-23","name":"The 18th International Design Conference (DESIGN 2024)","start_date":"2024-05-20","location":"Cavtat, Dubrovnik, Croatia"},"author":[{"first_name":"Lynn","full_name":"Humpert, Lynn","last_name":"Humpert"},{"first_name":"Daria","full_name":"Wilke, Daria","last_name":"Wilke"},{"first_name":"Sarah","full_name":"Brueggemann, Sarah","last_name":"Brueggemann"},{"full_name":"Anacker, Harald","first_name":"Harald","last_name":"Anacker"},{"first_name":"Roman","full_name":"Dumitrescu, Roman","last_name":"Dumitrescu","id":"16190"}],"intvolume":"         4","citation":{"bibtex":"@inproceedings{Humpert_Wilke_Brueggemann_Anacker_Dumitrescu_2024, title={Utilization of the system architecture in the context of validation in the business-to-business (B2B) sector}, volume={4}, DOI={<a href=\"https://doi.org/10.1017/pds.2024.263\">10.1017/pds.2024.263</a>}, booktitle={Proceedings of the Design Society}, publisher={Cambridge University Press (CUP)}, author={Humpert, Lynn and Wilke, Daria and Brueggemann, Sarah and Anacker, Harald and Dumitrescu, Roman}, year={2024}, pages={2605–2614} }","mla":"Humpert, Lynn, et al. “Utilization of the System Architecture in the Context of Validation in the Business-to-Business (B2B) Sector.” <i>Proceedings of the Design Society</i>, vol. 4, Cambridge University Press (CUP), 2024, pp. 2605–14, doi:<a href=\"https://doi.org/10.1017/pds.2024.263\">10.1017/pds.2024.263</a>.","short":"L. Humpert, D. Wilke, S. Brueggemann, H. Anacker, R. Dumitrescu, in: Proceedings of the Design Society, Cambridge University Press (CUP), 2024, pp. 2605–2614.","ama":"Humpert L, Wilke D, Brueggemann S, Anacker H, Dumitrescu R. Utilization of the system architecture in the context of validation in the business-to-business (B2B) sector. In: <i>Proceedings of the Design Society</i>. Vol 4. Cambridge University Press (CUP); 2024:2605-2614. doi:<a href=\"https://doi.org/10.1017/pds.2024.263\">10.1017/pds.2024.263</a>","apa":"Humpert, L., Wilke, D., Brueggemann, S., Anacker, H., &#38; Dumitrescu, R. (2024). Utilization of the system architecture in the context of validation in the business-to-business (B2B) sector. <i>Proceedings of the Design Society</i>, <i>4</i>, 2605–2614. <a href=\"https://doi.org/10.1017/pds.2024.263\">https://doi.org/10.1017/pds.2024.263</a>","ieee":"L. Humpert, D. Wilke, S. Brueggemann, H. Anacker, and R. Dumitrescu, “Utilization of the system architecture in the context of validation in the business-to-business (B2B) sector,” in <i>Proceedings of the Design Society</i>, Cavtat, Dubrovnik, Croatia, 2024, vol. 4, pp. 2605–2614, doi: <a href=\"https://doi.org/10.1017/pds.2024.263\">10.1017/pds.2024.263</a>.","chicago":"Humpert, Lynn, Daria Wilke, Sarah Brueggemann, Harald Anacker, and Roman Dumitrescu. “Utilization of the System Architecture in the Context of Validation in the Business-to-Business (B2B) Sector.” In <i>Proceedings of the Design Society</i>, 4:2605–14. Cambridge University Press (CUP), 2024. <a href=\"https://doi.org/10.1017/pds.2024.263\">https://doi.org/10.1017/pds.2024.263</a>."},"publication_status":"published","department":[{"_id":"563"}],"publication":"Proceedings of the Design Society","type":"conference","page":"2605-2614","volume":4,"title":"Utilization of the system architecture in the context of validation in the business-to-business (B2B) sector","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The European Green Deal aims to reduce global emissions by minimizing the use of resources. Early validation of products helps to reduce rework, costs and therefore resources. However, validation of complex mechatronic products is challenging due to interdependencies. Companies are applying systems engineering to meet this challenge. Current validation approaches are insufficient in the early design phases. This paper presents an approach to validation using the system architecture in the B2B sector. A machine tool and a custom built machine are presented as evaluation examples.</jats:p>"}],"doi":"10.1017/pds.2024.263","user_id":"15782"},{"intvolume":"         4","author":[{"last_name":"Günther","first_name":"Matthias","full_name":"Günther, Matthias"},{"last_name":"Seidenberg","full_name":"Seidenberg, Tobias","first_name":"Tobias"},{"full_name":"Anacker, Harald","first_name":"Harald","last_name":"Anacker"},{"last_name":"Dumitrescu","id":"16190","full_name":"Dumitrescu, Roman","first_name":"Roman"}],"conference":{"name":"The 18th International Design Conference (DESIGN 2024)","start_date":"2024-05-20","location":"Cavtat, Dubrovnik, Croatia","end_date":"2024-05-23"},"department":[{"_id":"563"}],"publication_status":"published","citation":{"mla":"Günther, Matthias, et al. “Principles for the Design of System of Systems Exemplified Using Modularisation.” <i>Proceedings of the Design Society</i>, vol. 4, Cambridge University Press (CUP), 2024, pp. 2565–74, doi:<a href=\"https://doi.org/10.1017/pds.2024.259\">10.1017/pds.2024.259</a>.","bibtex":"@inproceedings{Günther_Seidenberg_Anacker_Dumitrescu_2024, title={Principles for the design of system of systems exemplified using modularisation}, volume={4}, DOI={<a href=\"https://doi.org/10.1017/pds.2024.259\">10.1017/pds.2024.259</a>}, booktitle={Proceedings of the Design Society}, publisher={Cambridge University Press (CUP)}, author={Günther, Matthias and Seidenberg, Tobias and Anacker, Harald and Dumitrescu, Roman}, year={2024}, pages={2565–2574} }","short":"M. Günther, T. Seidenberg, H. Anacker, R. Dumitrescu, in: Proceedings of the Design Society, Cambridge University Press (CUP), 2024, pp. 2565–2574.","ama":"Günther M, Seidenberg T, Anacker H, Dumitrescu R. Principles for the design of system of systems exemplified using modularisation. In: <i>Proceedings of the Design Society</i>. Vol 4. Cambridge University Press (CUP); 2024:2565-2574. doi:<a href=\"https://doi.org/10.1017/pds.2024.259\">10.1017/pds.2024.259</a>","apa":"Günther, M., Seidenberg, T., Anacker, H., &#38; Dumitrescu, R. (2024). Principles for the design of system of systems exemplified using modularisation. <i>Proceedings of the Design Society</i>, <i>4</i>, 2565–2574. <a href=\"https://doi.org/10.1017/pds.2024.259\">https://doi.org/10.1017/pds.2024.259</a>","chicago":"Günther, Matthias, Tobias Seidenberg, Harald Anacker, and Roman Dumitrescu. “Principles for the Design of System of Systems Exemplified Using Modularisation.” In <i>Proceedings of the Design Society</i>, 4:2565–74. Cambridge University Press (CUP), 2024. <a href=\"https://doi.org/10.1017/pds.2024.259\">https://doi.org/10.1017/pds.2024.259</a>.","ieee":"M. Günther, T. Seidenberg, H. Anacker, and R. Dumitrescu, “Principles for the design of system of systems exemplified using modularisation,” in <i>Proceedings of the Design Society</i>, Cavtat, Dubrovnik, Croatia, 2024, vol. 4, pp. 2565–2574, doi: <a href=\"https://doi.org/10.1017/pds.2024.259\">10.1017/pds.2024.259</a>."},"status":"public","year":"2024","publication_identifier":{"issn":["2732-527X"]},"language":[{"iso":"eng"}],"publisher":"Cambridge University Press (CUP)","date_created":"2024-06-13T10:56:29Z","date_updated":"2024-06-13T11:38:43Z","_id":"54739","doi":"10.1017/pds.2024.259","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>In the context of system of systems (SoS) engineering, the incorporation of design principles is critical to guide the engineering process. This paper presents a systematic literature review to synthesize a list of principles tailored for SoS. 26 principles were identified as generic principles and 39 were mapped to the specific challenges in SoS engineering. Through an evaluation using the principle of modularisation in the design of a charging infrastructure, the study offers insights into the real-world effectiveness of these principles, showing their relevance in SoS engineering tasks.</jats:p>"}],"title":"Principles for the design of system of systems exemplified using modularisation","user_id":"15782","type":"conference","publication":"Proceedings of the Design Society","volume":4,"page":"2565-2574"},{"intvolume":"         4","conference":{"end_date":"2024-05-23","name":"The 18th International Design Conference (DESIGN 2024)","start_date":"2024-05-20","location":"Cavtat, Dubrovnik, Croatia"},"author":[{"full_name":"Disselkamp, Jan-Philipp","first_name":"Jan-Philipp","last_name":"Disselkamp"},{"full_name":"Schütte, Ben","first_name":"Ben","last_name":"Schütte"},{"full_name":"Dumitrescu, Roman","first_name":"Roman","last_name":"Dumitrescu","id":"16190"}],"department":[{"_id":"563"}],"citation":{"short":"J.-P. Disselkamp, B. Schütte, R. Dumitrescu, in: Proceedings of the Design Society, Cambridge University Press (CUP), 2024, pp. 553–562.","bibtex":"@inproceedings{Disselkamp_Schütte_Dumitrescu_2024, title={Challenges of the integrative product and production system development}, volume={4}, DOI={<a href=\"https://doi.org/10.1017/pds.2024.58\">10.1017/pds.2024.58</a>}, booktitle={Proceedings of the Design Society}, publisher={Cambridge University Press (CUP)}, author={Disselkamp, Jan-Philipp and Schütte, Ben and Dumitrescu, Roman}, year={2024}, pages={553–562} }","mla":"Disselkamp, Jan-Philipp, et al. “Challenges of the Integrative Product and Production System Development.” <i>Proceedings of the Design Society</i>, vol. 4, Cambridge University Press (CUP), 2024, pp. 553–62, doi:<a href=\"https://doi.org/10.1017/pds.2024.58\">10.1017/pds.2024.58</a>.","ieee":"J.-P. Disselkamp, B. Schütte, and R. Dumitrescu, “Challenges of the integrative product and production system development,” in <i>Proceedings of the Design Society</i>, Cavtat, Dubrovnik, Croatia, 2024, vol. 4, pp. 553–562, doi: <a href=\"https://doi.org/10.1017/pds.2024.58\">10.1017/pds.2024.58</a>.","chicago":"Disselkamp, Jan-Philipp, Ben Schütte, and Roman Dumitrescu. “Challenges of the Integrative Product and Production System Development.” In <i>Proceedings of the Design Society</i>, 4:553–62. Cambridge University Press (CUP), 2024. <a href=\"https://doi.org/10.1017/pds.2024.58\">https://doi.org/10.1017/pds.2024.58</a>.","apa":"Disselkamp, J.-P., Schütte, B., &#38; Dumitrescu, R. (2024). Challenges of the integrative product and production system development. <i>Proceedings of the Design Society</i>, <i>4</i>, 553–562. <a href=\"https://doi.org/10.1017/pds.2024.58\">https://doi.org/10.1017/pds.2024.58</a>","ama":"Disselkamp J-P, Schütte B, Dumitrescu R. Challenges of the integrative product and production system development. In: <i>Proceedings of the Design Society</i>. Vol 4. Cambridge University Press (CUP); 2024:553-562. doi:<a href=\"https://doi.org/10.1017/pds.2024.58\">10.1017/pds.2024.58</a>"},"publication_status":"published","publication_identifier":{"issn":["2732-527X"]},"year":"2024","language":[{"iso":"eng"}],"status":"public","date_created":"2024-06-13T10:57:11Z","publisher":"Cambridge University Press (CUP)","date_updated":"2024-06-13T11:34:56Z","_id":"54740","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Shorter product lifecycles and a shift from mechatronic to cyber-physical systems are leading to greater product complexity. This complexity can be addressed by more intensive cooperation between product and production system development. Despite intensive development in recent years, these process models have not been able to establish themselves in corporate practice. Therefore, this paper analyses the existing integrative product and production methods to identify the reasons for their lack of use in practice. The analysis has shown that there are nine barriers.</jats:p>","lang":"eng"}],"doi":"10.1017/pds.2024.58","title":"Challenges of the integrative product and production system development","user_id":"15782","type":"conference","publication":"Proceedings of the Design Society","page":"553-562","volume":4},{"volume":4,"page":"2765-2774","publication":"Proceedings of the Design Society","type":"conference","user_id":"15782","title":"Interdisciplinary system lifecycle management – a systematic literature review","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The increasing proportion of software in technical products means that both the products and the associated development processes are becoming more complex. An integration of the existing lifecycle considerations Application Lifecycle Management and Product Lifecycle Management into an interdisciplinary System Lifecycle Management promises to make the complexity manageable. To obtain an overview of the current benefits, challenges, requirements, approaches and open research gaps in the context of an ALM-PLM integration, this contribution presents the results of a Systematic Literature Review.</jats:p>"}],"doi":"10.1017/pds.2024.280","_id":"54733","date_updated":"2024-06-13T11:35:41Z","publisher":"Cambridge University Press (CUP)","date_created":"2024-06-13T10:47:03Z","status":"public","year":"2024","publication_identifier":{"issn":["2732-527X"]},"language":[{"iso":"eng"}],"publication_status":"published","citation":{"apa":"Wyrwich, F., Kharatyan, A., &#38; Dumitrescu, R. (2024). Interdisciplinary system lifecycle management – a systematic literature review. <i>Proceedings of the Design Society</i>, <i>4</i>, 2765–2774. <a href=\"https://doi.org/10.1017/pds.2024.280\">https://doi.org/10.1017/pds.2024.280</a>","ama":"Wyrwich F, Kharatyan A, Dumitrescu R. Interdisciplinary system lifecycle management – a systematic literature review. In: <i>Proceedings of the Design Society</i>. Vol 4. Cambridge University Press (CUP); 2024:2765-2774. doi:<a href=\"https://doi.org/10.1017/pds.2024.280\">10.1017/pds.2024.280</a>","chicago":"Wyrwich, Fabian, Aschot Kharatyan, and Roman Dumitrescu. “Interdisciplinary System Lifecycle Management – a Systematic Literature Review.” In <i>Proceedings of the Design Society</i>, 4:2765–74. Cambridge University Press (CUP), 2024. <a href=\"https://doi.org/10.1017/pds.2024.280\">https://doi.org/10.1017/pds.2024.280</a>.","ieee":"F. Wyrwich, A. Kharatyan, and R. Dumitrescu, “Interdisciplinary system lifecycle management – a systematic literature review,” in <i>Proceedings of the Design Society</i>, Cavtat, Dubrovnik, Croatia, 2024, vol. 4, pp. 2765–2774, doi: <a href=\"https://doi.org/10.1017/pds.2024.280\">10.1017/pds.2024.280</a>.","mla":"Wyrwich, Fabian, et al. “Interdisciplinary System Lifecycle Management – a Systematic Literature Review.” <i>Proceedings of the Design Society</i>, vol. 4, Cambridge University Press (CUP), 2024, pp. 2765–74, doi:<a href=\"https://doi.org/10.1017/pds.2024.280\">10.1017/pds.2024.280</a>.","bibtex":"@inproceedings{Wyrwich_Kharatyan_Dumitrescu_2024, title={Interdisciplinary system lifecycle management – a systematic literature review}, volume={4}, DOI={<a href=\"https://doi.org/10.1017/pds.2024.280\">10.1017/pds.2024.280</a>}, booktitle={Proceedings of the Design Society}, publisher={Cambridge University Press (CUP)}, author={Wyrwich, Fabian and Kharatyan, Aschot and Dumitrescu, Roman}, year={2024}, pages={2765–2774} }","short":"F. Wyrwich, A. Kharatyan, R. Dumitrescu, in: Proceedings of the Design Society, Cambridge University Press (CUP), 2024, pp. 2765–2774."},"department":[{"_id":"563"}],"author":[{"full_name":"Wyrwich, Fabian","first_name":"Fabian","last_name":"Wyrwich"},{"full_name":"Kharatyan, Aschot","first_name":"Aschot","last_name":"Kharatyan"},{"last_name":"Dumitrescu","id":"16190","first_name":"Roman","full_name":"Dumitrescu, Roman"}],"conference":{"end_date":"2024-05-23","start_date":"2024-05-20","location":"Cavtat, Dubrovnik, Croatia","name":"The 18th International Design Conference (DESIGN 2024)"},"intvolume":"         4"},{"date_updated":"2024-06-13T12:48:59Z","_id":"54753","type":"journal_article","year":"2024","language":[{"iso":"ger"}],"status":"public","publication":"KEM Konstruktion Automation","date_created":"2024-06-13T12:48:54Z","publisher":"Konradin-Verlag Robert Kohlhammer GmbH","department":[{"_id":"563"}],"citation":{"bibtex":"@article{Dumitrescu_Falkowski_Hovemann_Rasor_2024, title={GenAI-Tools revolutionieren die Produktentwicklung}, journal={KEM Konstruktion Automation}, publisher={Konradin-Verlag Robert Kohlhammer GmbH}, author={Dumitrescu, Roman and Falkowski, Tommy and Hovemann, Aschot and Rasor, Rik}, year={2024} }","mla":"Dumitrescu, Roman, et al. “GenAI-Tools revolutionieren die Produktentwicklung.” <i>KEM Konstruktion Automation</i>, Konradin-Verlag Robert Kohlhammer GmbH, 2024.","short":"R. Dumitrescu, T. Falkowski, A. Hovemann, R. Rasor, KEM Konstruktion Automation (2024).","ama":"Dumitrescu R, Falkowski T, Hovemann A, Rasor R. GenAI-Tools revolutionieren die Produktentwicklung. <i>KEM Konstruktion Automation</i>. Published online 2024.","apa":"Dumitrescu, R., Falkowski, T., Hovemann, A., &#38; Rasor, R. (2024). GenAI-Tools revolutionieren die Produktentwicklung. <i>KEM Konstruktion Automation</i>.","ieee":"R. Dumitrescu, T. Falkowski, A. Hovemann, and R. Rasor, “GenAI-Tools revolutionieren die Produktentwicklung,” <i>KEM Konstruktion Automation</i>, 2024.","chicago":"Dumitrescu, Roman, Tommy Falkowski, Aschot Hovemann, and Rik Rasor. “GenAI-Tools revolutionieren die Produktentwicklung.” <i>KEM Konstruktion Automation</i>, 2024."},"user_id":"15782","title":"GenAI-Tools revolutionieren die Produktentwicklung","author":[{"last_name":"Dumitrescu","id":"16190","first_name":"Roman","full_name":"Dumitrescu, Roman"},{"last_name":"Falkowski","first_name":"Tommy","full_name":"Falkowski, Tommy"},{"full_name":"Hovemann, Aschot","first_name":"Aschot","last_name":"Hovemann"},{"last_name":"Rasor","first_name":"Rik","full_name":"Rasor, Rik"}]},{"date_updated":"2024-06-16T14:54:42Z","page":"220","_id":"48164","type":"book_editor","year":"2024","publication_identifier":{"isbn":["978-3-662-66922-8"]},"language":[{"iso":"ger"}],"status":"public","date_created":"2023-10-17T07:58:21Z","publisher":"J. B. Metzler","department":[{"_id":"723"},{"_id":"724"},{"_id":"36"}],"citation":{"ama":"Drerup J, Göddertz N, Mattig R, Thole  W, Uhlendorff  U, eds. <i>Bildungsforschung – Erziehungswissenschaftliche Perspektiven</i>. J. B. Metzler; 2024.","apa":"Drerup, J., Göddertz, N., Mattig, R., Thole , W., &#38; Uhlendorff , U. (Eds.). (2024). <i>Bildungsforschung – Erziehungswissenschaftliche Perspektiven</i>. J. B. Metzler.","ieee":"J. Drerup, N. Göddertz, R. Mattig, W. Thole , and U. Uhlendorff , Eds., <i>Bildungsforschung – Erziehungswissenschaftliche Perspektiven</i>. J. B. Metzler, 2024.","chicago":"Drerup, Johannes , Nina Göddertz, Ruprecht  Mattig, Werner  Thole , and Uwe  Uhlendorff , eds. <i>Bildungsforschung – Erziehungswissenschaftliche Perspektiven</i>. J. B. Metzler, 2024.","bibtex":"@book{Drerup_Göddertz_Mattig_Thole _Uhlendorff _2024, title={Bildungsforschung – Erziehungswissenschaftliche Perspektiven}, publisher={J. B. Metzler}, year={2024} }","mla":"Drerup, Johannes, et al., editors. <i>Bildungsforschung – Erziehungswissenschaftliche Perspektiven</i>. J. B. Metzler, 2024.","short":"J. Drerup, N. Göddertz, R. Mattig, W. Thole , U. Uhlendorff , eds., Bildungsforschung – Erziehungswissenschaftliche Perspektiven, J. B. Metzler, 2024."},"user_id":"48187","publication_status":"published","title":"Bildungsforschung – Erziehungswissenschaftliche Perspektiven","editor":[{"first_name":"Johannes ","full_name":"Drerup, Johannes ","last_name":"Drerup"},{"first_name":"Nina","full_name":"Göddertz, Nina","last_name":"Göddertz","id":"94171"},{"full_name":"Mattig, Ruprecht ","first_name":"Ruprecht ","last_name":"Mattig"},{"first_name":"Werner ","full_name":"Thole , Werner ","last_name":"Thole "},{"full_name":"Uhlendorff , Uwe ","first_name":"Uwe ","last_name":"Uhlendorff "}]},{"department":[{"_id":"100"}],"user_id":"46953","citation":{"ieee":"A. Ernst and K.-U. Schmidt, “Transitivity in finite general linear groups,” <i>Mathematische Zeitschrift</i>, vol. 307, no. 45, 2024, doi: <a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>.","chicago":"Ernst, Alena, and Kai-Uwe Schmidt. “Transitivity in Finite General Linear Groups.” <i>Mathematische Zeitschrift</i> 307, no. 45 (2024). <a href=\"https://doi.org/10.1007/s00209-024-03511-x\">https://doi.org/10.1007/s00209-024-03511-x</a>.","apa":"Ernst, A., &#38; Schmidt, K.-U. (2024). Transitivity in finite general linear groups. <i>Mathematische Zeitschrift</i>, <i>307</i>(45). <a href=\"https://doi.org/10.1007/s00209-024-03511-x\">https://doi.org/10.1007/s00209-024-03511-x</a>","ama":"Ernst A, Schmidt K-U. Transitivity in finite general linear groups. <i>Mathematische Zeitschrift</i>. 2024;307(45). doi:<a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>","short":"A. Ernst, K.-U. Schmidt, Mathematische Zeitschrift 307 (2024).","bibtex":"@article{Ernst_Schmidt_2024, title={Transitivity in finite general linear groups}, volume={307}, DOI={<a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>}, number={45}, journal={Mathematische Zeitschrift}, author={Ernst, Alena and Schmidt, Kai-Uwe}, year={2024} }","mla":"Ernst, Alena, and Kai-Uwe Schmidt. “Transitivity in Finite General Linear Groups.” <i>Mathematische Zeitschrift</i>, vol. 307, no. 45, 2024, doi:<a href=\"https://doi.org/10.1007/s00209-024-03511-x\">10.1007/s00209-024-03511-x</a>."},"intvolume":"       307","doi":"10.1007/s00209-024-03511-x","abstract":[{"lang":"eng","text":"It is known that the notion of a transitive subgroup of a permutation group\r\n$G$ extends naturally to subsets of $G$. We consider subsets of the general\r\nlinear group $\\operatorname{GL}(n,q)$ acting transitively on flag-like\r\nstructures, which are common generalisations of $t$-dimensional subspaces of\r\n$\\mathbb{F}_q^n$ and bases of $t$-dimensional subspaces of $\\mathbb{F}_q^n$. We\r\ngive structural characterisations of transitive subsets of\r\n$\\operatorname{GL}(n,q)$ using the character theory of $\\operatorname{GL}(n,q)$\r\nand interpret such subsets as designs in the conjugacy class association\r\nscheme of $\\operatorname{GL}(n,q)$. In particular we generalise a theorem of\r\nPerin on subgroups of $\\operatorname{GL}(n,q)$ acting transitively on\r\n$t$-dimensional subspaces. We survey transitive subgroups of\r\n$\\operatorname{GL}(n,q)$, showing that there is no subgroup of\r\n$\\operatorname{GL}(n,q)$ with $1<t<n$ acting transitively on $t$-dimensional\r\nsubspaces unless it contains $\\operatorname{SL}(n,q)$ or is one of two\r\nexceptional groups. On the other hand, for all fixed $t$, we show that there\r\nexist nontrivial subsets of $\\operatorname{GL}(n,q)$ that are transitive on\r\nlinearly independent $t$-tuples of $\\mathbb{F}_q^n$, which also shows the\r\nexistence of nontrivial subsets of $\\operatorname{GL}(n,q)$ that are transitive\r\non more general flag-like structures. We establish connections with orthogonal\r\npolynomials, namely the Al-Salam-Carlitz polynomials, and generalise a result\r\nby Rudvalis and Shinoda on the distribution of the number of fixed points of\r\nthe elements in $\\operatorname{GL}(n,q)$. Many of our results can be\r\ninterpreted as $q$-analogs of corresponding results for the symmetric group."}],"author":[{"full_name":"Ernst, Alena","first_name":"Alena","id":"46953","last_name":"Ernst"},{"full_name":"Schmidt, Kai-Uwe","first_name":"Kai-Uwe","last_name":"Schmidt"}],"title":"Transitivity in finite general linear groups","date_updated":"2024-06-17T10:04:29Z","issue":"45","volume":307,"_id":"53534","status":"public","type":"journal_article","year":"2024","language":[{"iso":"eng"}],"publication":"Mathematische Zeitschrift","date_created":"2024-04-17T12:26:51Z"},{"department":[{"_id":"49"}],"citation":{"ieee":"L. Claes, T. Hetkämper, H. Zeipert, and B. Henning, “Auswertung der modalen Dämpfung von geführten akustischen Wellen in faserverstärkten Kunststoffplatten,” in <i>22. 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Nicolai, J. Bulling, Y. Lugovtsova, H. Zeipert, J. Prager, and B. Henning, “On the repulsion effect of coupled Lamb wave modes,” in <i>Fortschritte der Akustik - DAGA 2024</i>, 2024, pp. 632–635.","short":"M. Nicolai, J. Bulling, Y. Lugovtsova, H. Zeipert, J. Prager, B. Henning, in: D. Gesellschaft für Akustik e.V. (Ed.), Fortschritte Der Akustik - DAGA 2024, 2024, pp. 632–635.","chicago":"Nicolai, Marcel, Jannis Bulling, Yevgeniya Lugovtsova, Henning Zeipert, Jens Prager, and Bernd Henning. “On the Repulsion Effect of Coupled Lamb Wave Modes.” In <i>Fortschritte Der Akustik - DAGA 2024</i>, edited by Deutsche Gesellschaft für Akustik e.V., 632–635, 2024.","ama":"Nicolai M, Bulling J, Lugovtsova Y, Zeipert H, Prager J, Henning B. On the repulsion effect of coupled Lamb wave modes. In: Gesellschaft für Akustik e.V. D, ed. <i>Fortschritte Der Akustik - DAGA 2024</i>. ; 2024:632–635.","bibtex":"@inproceedings{Nicolai_Bulling_Lugovtsova_Zeipert_Prager_Henning_2024, title={On the repulsion effect of coupled Lamb wave modes}, booktitle={Fortschritte der Akustik - DAGA 2024}, author={Nicolai, Marcel and Bulling, Jannis and Lugovtsova, Yevgeniya and Zeipert, Henning and Prager, Jens and Henning, Bernd}, editor={Gesellschaft für Akustik e.V., Deutsche}, year={2024}, pages={632–635} }","apa":"Nicolai, M., Bulling, J., Lugovtsova, Y., Zeipert, H., Prager, J., &#38; Henning, B. (2024). On the repulsion effect of coupled Lamb wave modes. In D. Gesellschaft für Akustik e.V. (Ed.), <i>Fortschritte der Akustik - DAGA 2024</i> (pp. 632–635).","mla":"Nicolai, Marcel, et al. “On the Repulsion Effect of Coupled Lamb Wave Modes.” <i>Fortschritte Der Akustik - DAGA 2024</i>, edited by Deutsche Gesellschaft für Akustik e.V., 2024, pp. 632–635."},"user_id":"32580","department":[{"_id":"49"}]}]
