FUNCTION: Cycle2Perm - calculate the permutation from its decomposition into disjoint cycles

CALLING SEQUENCE:

Cycle2Perm(dc)

SG[Cycle2Perm](dc)

PARAMETERS:

dc = any list of list(s)

SYNOPSIS:

• The Cycle2Perm function calculates the permutation corresponding to its decomposition dc into disjoint cycles. Note however that the main format for permutations is the list notation.

• Fixed points need not to be given in the input.

• Whenever there is a conflict between the function name Cycle2Perm and another name used in the same session, use the long form SG['Cycle2Perm'].

EXAMPLES:

> with(SG):
> Cycle2Perm([[1, 7, 2], [4, 6], [3], [5]]);
 
                             [7, 1, 3, 6, 5, 4, 2]
 
> Cycle2Perm([[1, 7, 2], [4, 6]]);
 
                             [7, 1, 3, 6, 5, 4, 2]