Direct limit groups do not have small subgroups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109025We 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.10 pages, LaTeX; v4: update of referencesGroup Theory22E65Direct limit groups do not have small subgroupstext