No small subgroup
id:
no-small-subgroup-248-9300011
title:
No small subgroup
text:
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.
brand slug:
wiki
category slug:
encyclopedia
description:
Restriction on topological groups in mathematics
original url:
https://en.wikipedia.org/wiki/No_small_subgroup
date created:
date modified:
2023-08-12T01:52:24Z
main entity:
{"identifier":"Q7045262","url":"https://www.wikidata.org/entity/Q7045262"}
image:
fields total:
13
integrity:
14