Dear GAP-Forum,

Pamb <pamb@mathematik.uni-wuerzburg.de> writes:

> Here is my question:
>
> I have a set S with 30 elements, together with a symmetric binary relation R, which
> holds between some of the elements of S. I would like to find out all the
> permutations of S which preserve the relation R, in the following precise sense
> f: S to S, f bijection satisfying "a R b if and only if f(a) R f(b)".
>
> Is there any program in GAP that would allow me to do that?
>
Yes, certainly. Namely, your question is just to find
the automorphism group of a graph
(with vertex set S and edge set {(a,b) in S x S | a R b})
The shared package GRAPE will do this for you in couple of commands.

HTH,
Dima

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