Conjugacy classes

Conjugacy classes are groups of elements in a mathematical structure, like a group, that are related through a specific kind of symmetry. Two elements are in the same conjugacy class if one can be transformed into the other by an internal symmetry operation within the structure. Think of it as categorizing elements that are similar in behavior or properties when viewed through the structure's symmetry. These classes help mathematicians understand the overall structure, organize elements efficiently, and analyze how symmetries behave within the group.