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No small subgroup : ウィキペディア英語版 | 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.) == References ==
* M. Goto, H, Yamabe, (On some properties of locally compact groups with no small group )
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