ConjugacyClassRepresentative

The canonical permutation with the same cycle type.

ConjugacyClassRepresentative(Permutation)The canonical permutation with the same cycle type.

Typed signatures

Type	Package	Applies
(permutation) -> permutation	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a Permutation and returns a Permutation — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat does not fix an ordering for this map. Convention used here: cycles in decreasing length, filled with consecutive integers, each cycle (a a+1 … a+len-1) written as the one-line word a+1, …, a+len-1, a.

Examples

Basic #

the one-line word $231$

live ↗

In$\mathrm{ConjugacyClassRepresentative}({\operatorname{Permutation}}([2, 3, 1]))$Out${\operatorname{Permutation}}([2, 3, 1])$

About

Examples	1