Profinite group

A **profinite group** is a type of topological group that has a very specific structure. These groups are characterized by several key features: 1. **Definition**: A profinite group is a compact, totally disconnected, Hausdorff topological group that is isomorphic to the inverse limit of a system of finite groups. In more intuitive terms, you can think of profinite groups as "limits" of finite groups that retain a group structure.