The symmetric group $S_n$ acts naturally on the set $\{1,2,\dots, n\}$. Is this a left or a right action?
Is the natural action of $S_n$ on $\{1, 2, \dots, n\}$ a left or a right action?
4
$\begingroup$
abstract-algebra
group-theory
-
6It depends on your conventions for the order of a function and its argument and for the order of composing functions. It should be a straightforward check of definitions. – 2011-02-19
-
0Left, at least by the conventions I'm used to. (In all fairness, though, I'm not good with left/right things.) – 2011-02-19