## Prove that Center of Symmetric Group S_n is Trivial

The center of the symmetric group Sn is trivial if n≥3, that is, Z(Sn) = {e} where e denotes the identity element of Sn. The center of a group G, denoted by Z(G), is defined as follows: Z(G) = {g ∈ G : ag = ga ∀ a ∈ G}. In this article, we will … Read more