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The same conclusion is obtained for suitable direct limits of infinite-dimensional Lie groups."}],"status":"public","_id":"64691","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","keyword":["Infinite-dimensional Lie group","Direct limit group","Direct limit","Inductive limit","Small subgroup","Torsion subgroup"],"article_type":"original","extern":"1","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0166-8641"]},"quality_controlled":"1","issue":"6","year":"2007","page":"1126-1133","intvolume":"       154","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. 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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>"},"date_updated":"2026-02-26T11:44:04Z","volume":154,"author":[{"last_name":"Glöckner","id":"178","full_name":"Glöckner, Helge","first_name":"Helge"}],"date_created":"2026-02-26T11:43:06Z","title":"Direct limit groups do not have small subgroups","doi":"https://doi.org/10.1016/j.topol.2006.11.003"}]