[{"publication":"Topology and its Applications","issue":"6","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"}],"extern":"1","date_created":"2026-02-26T11:43:06Z","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"}],"title":"Direct limit groups do not have small subgroups","year":"2007","publication_identifier":{"issn":["0166-8641"]},"author":[{"id":"178","first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge"}],"date_updated":"2026-02-26T11:44:04Z","intvolume":"       154","article_type":"original","language":[{"iso":"eng"}],"doi":"https://doi.org/10.1016/j.topol.2006.11.003","citation":{"short":"H. Glöckner, Topology and Its Applications 154 (2007) 1126–1133.","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>.","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. 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>."},"quality_controlled":"1","status":"public","page":"1126-1133","_id":"64691","user_id":"178","volume":154}]