{"language":[{"iso":"eng"}],"extern":"1","article_type":"original","keyword":["Infinite-dimensional Lie group","Direct limit group","Direct limit","Inductive limit","Small subgroup","Torsion subgroup"],"user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"_id":"64691","status":"public","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"}],"type":"journal_article","publication":"Topology and its Applications","doi":"https://doi.org/10.1016/j.topol.2006.11.003","title":"Direct limit groups do not have small subgroups","author":[{"last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge","first_name":"Helge"}],"date_created":"2026-02-26T11:43:06Z","volume":154,"date_updated":"2026-02-26T11:44:04Z","citation":{"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>.","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} }","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>","chicago":"Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” <i>Topology and Its Applications</i> 154, no. 6 (2007): 1126–33. <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. 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>"},"intvolume":"       154","page":"1126-1133","year":"2007","issue":"6","publication_identifier":{"issn":["0166-8641"]},"quality_controlled":"1"}