Cayley graph construction

A Cayley graph visually represents a mathematical group by showing how its elements relate through specific operations, called generators. Each element of the group is represented as a point (or node). Edges connect points when one can be reached from another by applying a generator. This way, the graph encodes the structure of the group, illustrating how elements combine and interact. Cayley graphs are useful for understanding symmetries and properties of algebraic groups in a visual and intuitive manner.