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

Synopsis

• 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

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