[GAP Forum] Questions

[Sandeep Murthy]

Hi.

I have a couple of specific questions.

1. Is there a method that returns the inverse element of
any given element of a group?

2. Given that the operation

subsetTriplesG := Cartesian( Combinations( Elements( groupG ) ),
                                 Combinations( Elements( groupG ) ),
                                 Combinations( Elements( groupG ) ) );

constructs the set of all (ordered) triples of subsets of a given group
groupG, is there a method or combination of methods by which
I can obtain only those distinct triples of groupG which are not
permutations of each other, i.e. a set of distinct representatives
of an equivalence class of subset triples of groupG where
equivalence of two triples means one is a permutation of the
other?

Sincerely, Sandeep.