# Definition talk:Rotation (Permutation Theory)

Formally, as stated on PW, the domain of a permutation is an initial segment of $\N^*$, i.e. $\{1,2...,n\}$. In particular, it is fixed. A rotation is a function permuting the indices of any given ordered $n$-tuple of elements of the set $A$. Conceptually this difference isn't huge, but to say that these are identical would be too colloquial. --Lord_Farin 08:30, 2 March 2012 (EST)