 What's special about the class of transpositions ("k" = 1)?If one forms the product of two distinct transpositions "τ"1 and "τ"2, then one always obtains either a 3-cycle or a permutation of type 221"n"−4, so the order of the produced element is either 2 or 3.On the other hand, if one forms the product of two distinct involutions "σ"1, "σ"2 of type , then provided , it is always possible to produce an element of order 6, 7 or 4, as follows.