Order of the center of $Sym(n)$

Question

With the standard notations, what's $|Z(Sym(n))|$ equal to, in terms of $n$?

score 1 · Accepted Answer · answered Nov 17 '18 at 08:28

1

Does $Sym(n)$ mean the symmetric group $S_n$?

$S_2$ is Abelian, but all other $S_n$ have trivial centre.

answered Nov 17 '18 at 08:28

Angina Seng

Ok, clear. I came across this question while arguing whether it could make sense to apply the conjugacy class equation to $Sym(n)$. – Nov 17 '18 at 09:01

1 Answers1