Source: wikibot/locally-compact-group

= Locally compact group
{wiki=Locally_compact_group}

A **locally compact group** is a type of topological group that has the property of local compactness in addition to the group structure. Let's break down the definitions: 1. **Topological Group**: A group \\( G \\) is equipped with a topology such that both the group operation (multiplication) and the inverse operation are continuous.