Can Any Permutation Be Written In 3-Cycle?
Can Any Permutation Be Written In 3-Cycle? A permutation cycle is a subset of a permutation whose elements trade places with one another. Permutations cycles are called “orbits” by Comtet (1974, p. 256). For example, in the permutation group , (143) is a 3-cycle and (2) is a 1-cycle. Is a 3-cycle an even permutation?