FUNCTION: SgTranspo - return a transposition

CALLING SEQUENCE:

SgTranspo(i)

SgTranspo(i, n)

SgTranspo(i, j, n)

SG[SgTranspo](i)

SG[SgTranspo](i, n)

SG[SgTranspo](i, j, n)

PARAMETERS:

n = the degree of a symmetric group

i = any positive integer

j = any positive integer

SYNOPSIS:

• The SgTranspo function returns a transposition, that is a permutation interchanging two values and fixing all others.

• SgTranspo(i) =[1, ..., i+1, i].

• SgTranspo(i,n) =[1, ..., i+1, i, ..., n].

• SgTranspo(i,j,n) =[1, ..., j, ..., i, ..., n].

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

EXAMPLES:

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