Howdy,

I'm a relative newbie to GAP.

Recently I saw a post at rec.puzzles regarding a permutation puzzle, which
the poster had done some analysis using magma. I wanted to do the same sort
of analysis with GAP.

The magma command sequence was something like this (specific details don't
seem important):

G:=PermutationGroup ...;
f:=InverseWordMap(G);
g:=G!(15,16);
sol:=f(g);
#sol;

In my case, I got as far as this, defining my puzzle with

puzzle := Group ((1,2,3,7,11,10,9,5),
(2,3,4,8,12,11,10,6),
(5,6,7,11,15,14,13,9),
(6,7,8,12,16,15,14,10));;

and counting the size of the group with

Size (puzzle);

But I don't see any corresponding operation to magma's InverseWordMap and
sol.

Anyone out there have any hints?

Thanks in any case,
Bob

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