1···9d A 2-cycle o is called transposition Theorem 6.11. Let o be any element of s Then o may be expressed as a product of disjoint cycles. Corollary 6.1. Every permutation of'sn is a product of transpositions. =(i1 ,…, id ):  A 2-cycle  is called transposition.  Theorem 6.11. Let  be any element of Sn . Then  may be expressed as a product of disjoint cycles.  Corollary 6.1. Every permutation of Sn is a product of transpositions