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.