Automorphism Group

An automorphism group is a set of transformations or symmetries of a mathematical object, such as a shape or structure, that preserve its essential features. It includes all the ways you can change or rearrange the object without altering its fundamental properties. These transformations can be combined, and the group structure reflects how they interact. Understanding the automorphism group helps reveal the object's inherent symmetries and structure, providing insight into its characteristics and behavior within the broader mathematical context.