conjugacyClass(List) -- the conjugacy class of a permutation

Function: conjugacyClass
Usage:

conjugacyClass perm
Inputs:
- perm, a list, a permutation of the list of numbers from 0 to n-1
Outputs:
- an instance of the type Partition, a partition that represents the conjugacy class of the permutation

Description

The method first calculates the cycle decomposition of the permutation Then the conjugacy class is the partition given by the lengths of the cycles in the decomposition

i1 : cycleDecomposition {0,1,2,3,4}

o1 = {{0}, {1}, {2}, {3}, {4}}

o1 : List

i2 : conjugacyClass 	{0,1,2,3,4}

o2 = Partition{1, 1, 1, 1, 1}

o2 : Partition

i3 : cycleDecomposition {1,3,2,0,4}

o3 = {{0, 1, 3}, {2}, {4}}

o3 : List

i4 : conjugacyClass 	{0,1,2,3,4}

o4 = Partition{1, 1, 1, 1, 1}

o4 : Partition

Ways to use this method:

conjugacyClass(List) -- the conjugacy class of a permutation

The source of this document is in SpechtModule.m2:3305:0.