Conjugacy class size set-determined group
This group property is about the given group being determined, upto isomorphism, by certain statistic(s)
A finite group is said to be conjugacy class size set-determined if whenever is a group such that:
- and have the same order (i.e. cardinality)
- The set of sizes of conjugacy classes of is the same as that of
then and are isomorphic groups.