[GAP Forum] Find Sequences of Free Vertices.

[Siddiqua Mazhar]

Dear Sir/Madam,


Could you please assist to find a program for this permutation

Let x and y be a finite permutation representation,

x:=((6,10,12,14,9)(4,7,11,13,8));

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

I want to find the sequence C here from these permutations,

C=[(1,3),(5,2),(1),(3),(5),(2)];

because 1 and 3 are fixed under x permutation and they are in y cylce next to each other, similarly, 5 and 2 are fixed under x and in y cycle they are next to each other moreover all of its subsequences.

Many thanks.

Regards
Siddiqua.