[{"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","author":[{"full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner","first_name":"Helge"}],"date_created":"2026-02-26T11:43:06Z","volume":154,"year":"2007","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>","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.","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>.","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>.","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>"},"page":"1126-1133","intvolume":"       154","publication_identifier":{"issn":["0166-8641"]},"quality_controlled":"1","issue":"6","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"}],"abstract":[{"lang":"eng","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."}],"status":"public","type":"journal_article","publication":"Topology and its Applications"}]