Every permutation of a finite set can be written as a cycle or as a product of disjoint cycles
Every permutation in $S_n \forall n \geq$ 2 can be written as a product of transposition.
Suppose we have $\alpha=(123)(111)$
As a product of transposition, do I ignore the 'repeating' elements?
So that we have $(12)(13)(11)\equiv (12)(13)$?