Direct limit groups do not have small subgroups
H. Glöckner, Topology and Its Applications 154 (2007) 1126–1133.
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Journal Article
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Abstract
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.
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Journal Title
Topology and its Applications
Volume
154
Issue
6
Page
1126-1133
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Glöckner H. Direct limit groups do not have small subgroups. Topology and its Applications. 2007;154(6):1126-1133. doi:https://doi.org/10.1016/j.topol.2006.11.003
Glöckner, H. (2007). Direct limit groups do not have small subgroups. Topology and Its Applications, 154(6), 1126–1133. https://doi.org/10.1016/j.topol.2006.11.003
@article{Glöckner_2007, title={Direct limit groups do not have small subgroups}, volume={154}, DOI={https://doi.org/10.1016/j.topol.2006.11.003}, number={6}, journal={Topology and its Applications}, author={Glöckner, Helge}, year={2007}, pages={1126–1133} }
Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” Topology and Its Applications 154, no. 6 (2007): 1126–33. https://doi.org/10.1016/j.topol.2006.11.003.
H. Glöckner, “Direct limit groups do not have small subgroups,” Topology and its Applications, vol. 154, no. 6, pp. 1126–1133, 2007, doi: https://doi.org/10.1016/j.topol.2006.11.003.
Glöckner, Helge. “Direct Limit Groups Do Not Have Small Subgroups.” Topology and Its Applications, vol. 154, no. 6, 2007, pp. 1126–33, doi:https://doi.org/10.1016/j.topol.2006.11.003.
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