Composes permutations, applying them left to right. With permutation lists
PermutationProduct[a, b, c]
PermutationProduct[{2, 1, 3}, {1, 3, 2}]
→ {3, 1, 2}PermutationProduct[{2, 3, 1}, {2, 3, 1}, {2, 3, 1}]
→ {1, 2, 3}PermutationProduct[{2, 1}, {2, 3, 1}]
→ {3, 2, 1}PermutationProduct[Cycles[{{1, 2}}], Cycles[{{2, 3}}]]
→ Cycles[{{1, 3, 2}}]