FUNCTION: Vect2Perm - compute a canonical permutation from a vector

CALLING SEQUENCE:

Vect2Perm(l)

SG[Vect2Perm](l)

PARAMETERS:

l = any list of positive integers

SYNOPSIS:

• The Vect2Perm function calculates a canonical permutation from the list l, having as cycle type, the reordering of l.

• Let l=[3, 2, 4], Vect2Perm(l) gives a permutation in S3 x S2 x S4 which is a direct product of cycles of length 3, 2, 4.

• Whenever there is a conflict between the function name Vect2Perm and another name used in the same session, use the long form SG['Vect2Perm'].

EXAMPLES:

> with(SG):
> Vect2Perm([3,1,4,1]);
 
                           [3, 1, 2, 4, 8, 5, 6, 7, 9]