succeed to run, however, why sage return two different permutation group, 
which one is correct? or both correct?  when using it , should we use any 
one of them, or use both?

gap> PermutationMat((2,3,5)(6,7,8),8);
[ [ 1, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 1, 
0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0 ],
  [ 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0 ], [ 0, 0, 0, 0, 0, 
0, 0, 1 ], [ 0, 0, 0, 0, 0, 1, 0, 0 ] ]
gap> PermutationMat((1,2,4,7)(3,6,8,5),8);
[ [ 0, 1, 0, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 1, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 
1, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 1, 0 ],
  [ 0, 0, 1, 0, 0, 0, 0, 0 ], [ 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 0, 0, 0, 0, 
0, 0, 0 ], [ 0, 0, 0, 0, 1, 0, 0, 0 ] ]



On Friday, June 24, 2016 at 9:27:30 AM UTC+8, Justin C. Walker wrote:
>
>
> On Jun 23, 2016, at 17:56 , meInvent bbird wrote: 
>
> > I had tried permutation in syntax below, still have error 
> > 
> > PermutationMat((2,3,5)(6,7,8),(1,2,4,7)(3,6,8,5)); 
> > PermutationMat(((2,3,5)(6,7,8),(1,2,4,7)(3,6,8,5))); 
> > PermutationMat((2,3,5)(6,7,8)); 
> > 
> > 
> > gap> PermutationMat((2,3,5)(6,7,8),(1,2,4,7)(3,6,8,5)); 
> > Error, usage: PermutationMat( <perm>, <dim> [, <F> ] ) called from 
> > <function "PermutationMat">( <arguments> ) 
> > called from read-eval loop at line 1 of *stdin* 
> > you can 'quit;' to quit to outer loop, or 
> > you can 'return;' to continue 
>
> I don't think you've read the manual; the error message you got should 
> give you a clue, and suggest reading the manual to find out what this 
> procedure does and what the arguments are for. 
>
> What are you trying to achieve? 
>
> Justin 
>
> -- 
> Justin C. Walker, Curmudgeon-At-Large, Director 
> Institute for the Enhancement of the Director's Income 
> -------- 
> The path of least resistance: 
> it's not just for electricity any more. 
> -------- 
>
>
>
>

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