FUNCTION: Part2SgCC - compute a conjugacy class of the symmetric group

CALLING SEQUENCE:

Part2SgCC(part)

Part2SgCC(part, 'card')

SG[Part2SgCC](part)

SG[Part2SgCC](part, 'card')

PARAMETERS:

part = any list denoting a partition

SYNOPSIS:

• The Part2SgCC function computes the list of all permutations whose cycle type is the given partition part.

• When called with the second argument 'card', the function returns the number of elements in the conjugacy class indexed by the partition part.

• Whenever there is a conflict between the function name Part2SgCC and another name used in the same session, use the long form SG['Part2SgCC'].

EXAMPLES:

> with(SG):
> Part2SgCC([2,1]);
 
                      [[1, 3, 2], [2, 1, 3], [3, 2, 1]]
 
> Part2SgCC([5,4,3,1], 'card');
 
                                  103783680