Coset enumeration

Coset enumeration is a method used in group theory, particularly in the study of group presentations and finite groups. It provides a way to systematically explore the structure of a group given by a presentation, typically in the form \( G = \langle S \mid R \rangle \), where \( S \) is a set of generators and \( R \) is a set of relations among those generators. Here's a more detailed overview of the concept: ### Basic Concept 1.