FUNCTION: MultPerm - multiply permutations

CALLING SEQUENCE:

MultPerm(perm_1, perm_2)

SG[MultPerm](perm_1, perm_2)

PARAMETERS:

perm_1, perm_2 = any lists denoting permutations

SYNOPSIS:

• The MultPerm function calculates the product of a sequence (of arbitrary length) of permutations.

• MultPerm(perm_1, perm_2) computes perm_1(perm_2).

• Permutations need not to belong to the same symmetric group: Sn is embedded into Sn+1 by adding the fixed point n+1.

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

EXAMPLES:

> with(SG):
> MultPerm([1,3,2], [2,3,1]);
 
                                    [3, 2, 1]
 
> MultPerm([1,3,2], [2,3,1], [1,3,2,4]);
 
                                  [3, 1, 2, 4]