Source: wikibot/discrete-group
= Discrete group
{wiki=Discrete_group}
In mathematics, particularly in the field of group theory, a **discrete group** is a type of group that is equipped with the discrete topology. To understand this concept, let's break it down: 1. **Group**: A group is a set \\( G \\) along with an operation \\( \\cdot \\) (often just denoted by juxtaposition) that satisfies four fundamental properties: closure, associativity, identity, and the existence of inverses.