Group multiplication of permutations . The applet below is a device to help master the group multiplication of permutations and serve as an illustration to Lemma 1. Do not forget that, in a product, permutations are executed left to right. The latter is particularly useful as an illustration of Lemma 1 . However note that a cycle admits various representations that are obtained from each other by rotating its list of elements.
Cycles generated by the applet always start with the smallest element.
Alexander Bogomolny 2413827 .