Commuting fraction in quotient group is at least as much as in whole group
- The Commuting fraction (?) (i.e., the fraction of pairs of elements that commute) in is at least as much as in .
- The Number of conjugacy classes (?) in is bounded from below by the quotient of the number of conjugacy classes in by the size of .
- Commuting fraction in subgroup is at least as much as in whole group
- Number of conjugacy classes in a subgroup may be more than in the whole group