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The same conclusion is obtained for suitable direct limits of infinite-dimensional Lie groups."}],"extern":"1","issue":"6","publication":"Topology and its Applications","type":"journal_article","keyword":["Infinite-dimensional Lie group","Direct limit group","Direct limit","Inductive limit","Small subgroup","Torsion subgroup"],"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"date_created":"2026-02-26T11:43:06Z","status":"public","user_id":"178","volume":154,"page":"1126-1133","_id":"64691","quality_controlled":"1","citation":{"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>","ieee":"H. 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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>","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} }","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>","short":"H. Glöckner, L.G. Lucht, Š. 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