{"page":"847-857","doi":"10.5802/jtnb.1052","issue":"3","publication_status":"published","date_created":"2023-03-07T08:27:36Z","keyword":["Algebra and Number Theory"],"abstract":[{"lang":"eng","text":"We show that exceptional algebraic groups over number fields do not admit one-class genera of parahoric groups, except in the case G₂ . For the group G₂, we enumerate all such one-class genera for the usual seven-dimensional representation."}],"publication":"Journal de Théorie des Nombres de Bordeaux","type":"journal_article","date_updated":"2023-04-04T09:07:32Z","language":[{"iso":"eng"}],"citation":{"apa":"Kirschmer, M. (2018). One-class genera of exceptional groups over number fields. <i>Journal de Théorie Des Nombres de Bordeaux</i>, <i>30</i>(3), 847–857. <a href=\"https://doi.org/10.5802/jtnb.1052\">https://doi.org/10.5802/jtnb.1052</a>","ieee":"M. Kirschmer, “One-class genera of exceptional groups over number fields,” <i>Journal de Théorie des Nombres de Bordeaux</i>, vol. 30, no. 3, pp. 847–857, 2018, doi: <a href=\"https://doi.org/10.5802/jtnb.1052\">10.5802/jtnb.1052</a>.","ama":"Kirschmer M. One-class genera of exceptional groups over number fields. <i>Journal de Théorie des Nombres de Bordeaux</i>. 2018;30(3):847-857. doi:<a href=\"https://doi.org/10.5802/jtnb.1052\">10.5802/jtnb.1052</a>","mla":"Kirschmer, Markus. “One-Class Genera of Exceptional Groups over Number Fields.” <i>Journal de Théorie Des Nombres de Bordeaux</i>, vol. 30, no. 3, Cellule MathDoc/CEDRAM, 2018, pp. 847–57, doi:<a href=\"https://doi.org/10.5802/jtnb.1052\">10.5802/jtnb.1052</a>.","short":"M. Kirschmer, Journal de Théorie Des Nombres de Bordeaux 30 (2018) 847–857.","chicago":"Kirschmer, Markus. “One-Class Genera of Exceptional Groups over Number Fields.” <i>Journal de Théorie Des Nombres de Bordeaux</i> 30, no. 3 (2018): 847–57. <a href=\"https://doi.org/10.5802/jtnb.1052\">https://doi.org/10.5802/jtnb.1052</a>.","bibtex":"@article{Kirschmer_2018, title={One-class genera of exceptional groups over number fields}, volume={30}, DOI={<a href=\"https://doi.org/10.5802/jtnb.1052\">10.5802/jtnb.1052</a>}, number={3}, journal={Journal de Théorie des Nombres de Bordeaux}, publisher={Cellule MathDoc/CEDRAM}, author={Kirschmer, Markus}, year={2018}, pages={847–857} }"},"user_id":"93826","volume":30,"publication_identifier":{"issn":["1246-7405","2118-8572"]},"department":[{"_id":"102"}],"title":"One-class genera of exceptional groups over number fields","_id":"42790","publisher":"Cellule MathDoc/CEDRAM","author":[{"full_name":"Kirschmer, Markus","id":"82258","last_name":"Kirschmer","first_name":"Markus"}],"extern":"1","year":"2018","intvolume":"        30","status":"public"}