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Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.
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Interpretation of "1089-number trick" in terms of symmetric group action on cohomology group?
In this way we can find other "number tricks" by using other null-relations between permutations: for instance, if $\rho\in\Sigma_3$ is the rotation $\rho(abc) = cab$, then one can use the relation
$$( … To sum up the above discussion, behind the curtain of these "number tricks" is a null-relation of permutations, which implies that the computation depends only on the carrying involved. …