[GAP Forum] To compute all the maps on permutation group S_3

[Akhilesh Yadav]

Dear Gap Forum



Let $S_3$ be the permutation group of degree 3. Let $x, y$ be any two
elements of $S_3$. Suppose $x^{-1}$ denotes the inverse of $x$ in the group
$S_3$.
Can we list all the maps f from S_3xS_3 into S_3 by using GAP?
If yes, can we shortlist $f$ such that $f(x, y)= f(y^{-1}, x^{-1}) and f(x,
x^{-1})= 1, the identity of S_3?
Please help.

Akhilesh