@article{64691,
  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.}},
  author       = {{Glöckner, Helge}},
  issn         = {{0166-8641}},
  journal      = {{Topology and its Applications}},
  keywords     = {{Infinite-dimensional Lie group, Direct limit group, Direct limit, Inductive limit, Small subgroup, Torsion subgroup}},
  number       = {{6}},
  pages        = {{1126--1133}},
  title        = {{{Direct limit groups do not have small subgroups}}},
  doi          = {{https://doi.org/10.1016/j.topol.2006.11.003}},
  volume       = {{154}},
  year         = {{2007}},
}