
Cayley group
A Cayley group is a way to visualize the structure of a mathematical group by representing its elements as points and the group's operations as connections between these points. Imagine each element of the group as a node on a network, and each operation (like combining elements) as a link connecting nodes. This diagram helps us see how elements interact, how they can be transformed into one another, and the overall symmetry of the group. Cayley groups are useful in understanding concepts like symmetry and structure in mathematics and physics.