Permutation cycle
= Permutation cycle
= Cycle
{synonym}
A permutation cycle $(a_1\,a_2\,\ldots\,a_k)$ sends $a_i$ to $a_{i+1}$, sends $a_k$ to $a_1$, and fixes every other element. Its <order of a group element>[order] is $k$.
= Permutation cycle
= Cycle
{synonym}
A permutation cycle $(a_1\,a_2\,\ldots\,a_k)$ sends $a_i$ to $a_{i+1}$, sends $a_k$ to $a_1$, and fixes every other element. Its <order of a group element>[order] is $k$.