For a permutation group $G$ acting on the set $\Omega$
 we say that two strings $x,y\,:\,\Omega\to\boole$
 are {\em $G$-isomorphic} if they are equivalent under
 the action of $G$, \ie, if for some $\pi\in G$ we have
 $x(i^{\pi})=y(i)$ for all $i\in\Omega$.
 Cyclic Shift, Graph Isomorphism ...
                	
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