Let (G,∘) be a finite abelian group of order n, say G={ai}i=1i=n, where n is a positive integer. Also, let x=a1∘a2∘⋯∘an−1∘an.
What is the value of x2016?
Details and Assumptions:
- eG denotes the identity element of the group (G,∘).
- xn=n timesx∘x∘⋯∘x∘x.