# closed subgroup theorem

> theorem stating that, if H is a closed subgroup of a Lie group G, then H is an embedded Lie group with the relative topology being the same as the group topology

**Wikidata**: [Q18206032](https://www.wikidata.org/wiki/Q18206032)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Closed-subgroup_theorem)  
**Source**: https://4ort.xyz/entity/closed-subgroup-theorem