Cycle Type
If is a product of disjoint cycles of lengths , its cycle type is the multiset , usually with singleton cycles omitted.
Definition 8.9 (Cycle Type)
If
then is called a -cycle.
The (multi)set of numbers is called the cycle type of . We often omit singletons from the cycle type.
Related
Stated in
- Definition 8.9 (Cycle Type)§8.1 Permutations and Cycle Notation