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Glöckner, “Direct limit groups do not have small subgroups,” <i>Topology and its Applications</i>, vol. 154, no. 6, pp. 1126–1133, 2007, doi: <a href=\"https://doi.org/10.1016/j.topol.2006.11.003\">https://doi.org/10.1016/j.topol.2006.11.003</a>.","ama":"Glöckner H. Direct limit groups do not have small subgroups. <i>Topology and its Applications</i>. 2007;154(6):1126-1133. doi:<a href=\"https://doi.org/10.1016/j.topol.2006.11.003\">https://doi.org/10.1016/j.topol.2006.11.003</a>","bibtex":"@article{Glöckner_2007, title={Direct limit groups do not have small subgroups}, volume={154}, DOI={<a href=\"https://doi.org/10.1016/j.topol.2006.11.003\">https://doi.org/10.1016/j.topol.2006.11.003</a>}, number={6}, journal={Topology and its Applications}, author={Glöckner, Helge}, year={2007}, pages={1126–1133} }","mla":"Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” <i>Topology and Its Applications</i>, vol. 154, no. 6, 2007, pp. 1126–33, doi:<a href=\"https://doi.org/10.1016/j.topol.2006.11.003\">https://doi.org/10.1016/j.topol.2006.11.003</a>.","short":"H. Glöckner, Topology and Its Applications 154 (2007) 1126–1133.","apa":"Glöckner, H. (2007). Direct limit groups do not have small subgroups. <i>Topology and Its Applications</i>, <i>154</i>(6), 1126–1133. <a href=\"https://doi.org/10.1016/j.topol.2006.11.003\">https://doi.org/10.1016/j.topol.2006.11.003</a>"},"intvolume":"       154","page":"1126-1133","publication_identifier":{"issn":["0166-8641"]},"quality_controlled":"1","issue":"6","title":"Direct limit groups do not have small subgroups","doi":"https://doi.org/10.1016/j.topol.2006.11.003","date_updated":"2026-02-26T11:44:04Z","date_created":"2026-02-26T11:43:06Z","author":[{"last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178","first_name":"Helge"}],"volume":154,"abstract":[{"text":"We show that countable direct limits of finite-dimensional Lie groups do not have small subgroups. The same conclusion is obtained for suitable direct limits of infinite-dimensional Lie groups.","lang":"eng"}],"status":"public","type":"journal_article","publication":"Topology and its Applications","article_type":"original","keyword":["Infinite-dimensional Lie group","Direct limit group","Direct limit","Inductive limit","Small subgroup","Torsion subgroup"],"extern":"1","language":[{"iso":"eng"}],"_id":"64691","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}]},{"language":[{"iso":"eng"}],"keyword":["11A25","46H30"],"publication":"Proceedings of the American Mathematical Society","date_created":"2026-02-26T11:45:24Z","title":"Solutions to arithmetic convolution equations","issue":"6","quality_controlled":"1","year":"2007","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"64692","extern":"1","article_type":"original","type":"journal_article","status":"public","volume":135,"author":[{"first_name":"Helge","full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner"},{"full_name":"Lucht, Lutz G.","last_name":"Lucht","first_name":"Lutz G."},{"full_name":"Porubský, Štefan","last_name":"Porubský","first_name":"Štefan"}],"date_updated":"2026-02-27T08:01:40Z","doi":"10.1090/S0002-9939-07-08738-2","publication_identifier":{"issn":["0002-9939"]},"intvolume":"       135","page":"1619–1629","citation":{"bibtex":"@article{Glöckner_Lucht_Porubský_2007, title={Solutions to arithmetic convolution equations}, volume={135}, DOI={<a href=\"https://doi.org/10.1090/S0002-9939-07-08738-2\">10.1090/S0002-9939-07-08738-2</a>}, number={6}, journal={Proceedings of the American Mathematical Society}, author={Glöckner, Helge and Lucht, Lutz G. and Porubský, Štefan}, year={2007}, pages={1619–1629} }","short":"H. Glöckner, L.G. Lucht, Š. Porubský, Proceedings of the American Mathematical Society 135 (2007) 1619–1629.","mla":"Glöckner, Helge, et al. “Solutions to Arithmetic Convolution Equations.” <i>Proceedings of the American Mathematical Society</i>, vol. 135, no. 6, 2007, pp. 1619–1629, doi:<a href=\"https://doi.org/10.1090/S0002-9939-07-08738-2\">10.1090/S0002-9939-07-08738-2</a>.","apa":"Glöckner, H., Lucht, L. G., &#38; Porubský, Š. (2007). Solutions to arithmetic convolution equations. <i>Proceedings of the American Mathematical Society</i>, <i>135</i>(6), 1619–1629. <a href=\"https://doi.org/10.1090/S0002-9939-07-08738-2\">https://doi.org/10.1090/S0002-9939-07-08738-2</a>","ama":"Glöckner H, Lucht LG, Porubský Š. Solutions to arithmetic convolution equations. <i>Proceedings of the American Mathematical Society</i>. 2007;135(6):1619–1629. doi:<a href=\"https://doi.org/10.1090/S0002-9939-07-08738-2\">10.1090/S0002-9939-07-08738-2</a>","chicago":"Glöckner, Helge, Lutz G. Lucht, and Štefan Porubský. “Solutions to Arithmetic Convolution Equations.” <i>Proceedings of the American Mathematical Society</i> 135, no. 6 (2007): 1619–1629. <a href=\"https://doi.org/10.1090/S0002-9939-07-08738-2\">https://doi.org/10.1090/S0002-9939-07-08738-2</a>.","ieee":"H. Glöckner, L. G. Lucht, and Š. Porubský, “Solutions to arithmetic convolution equations,” <i>Proceedings of the American Mathematical Society</i>, vol. 135, no. 6, pp. 1619–1629, 2007, doi: <a href=\"https://doi.org/10.1090/S0002-9939-07-08738-2\">10.1090/S0002-9939-07-08738-2</a>."}}]