Question

prove that every permutation of a finite set can be expressed as a cycle or as a product of disjoint cycles​

Answer 1

Answer:

We know that every permutation can be written as a product of disjoint cycles. Then, every cycle can be written as a product of transpositions. Every permutation can be written as a product of transpositions. ... We decompose α as a product of transpositions by first writing it as a product of disjoint cycles.