I've heard every permutation can be expressed as a composition of transpositions. How would this be done with the permutation $\pi:\{1\}\to\{1\}$? This only seems possible if one includes the identity as a transposition.
2026-03-25 20:41:09.1774471269
Is the identity permutation a transposition?
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The identity permutation is precisely the composition of zero transpositions.