The conjugacy classes of a group form a partition of its elements. In a finite group, this means that the order of the group is the sum of the number of elements of the distinct conjugacy classes. For an element of group , we denote the centralizer in of by . The number of elements in the conjugacy class of is , the index of in . For an element of the center of , the conjugacy class of consists of the singleton . Putting this together gives us the class equation
where the are elements of the distinct conjugacy classes contained in .
|Date of creation||2013-03-22 13:10:41|
|Last modified on||2013-03-22 13:10:41|
|Last modified by||yark (2760)|
|Synonym||conjugacy class formula|