No small subgroup

In mathematics, especially in topology, a topological group "G" is said to have no small subgroup if there exists a neighborhood "U" of the identity that contains no nontrivial subgroup of "G". An abbreviation '"NSS"' is sometimes used. A basic example of a topological group with no small subgroup is the general linear group over the complex numbers.
A locally compact, separable metric, locally connected group with no small subgroup is a Lie group. (cf. Hilbert's fifth problem.)