Fusion Products of Twisted Modules in Permutation Orbifolds: II

Let $V$ be a simple, rational, $C_{2}$-cofinite vertex operator algebra of CFT type, and let $k$ be a positive integer. In this paper, we determine the fusion products of twisted modules for $V^{\otimes k}$ and $G = \left\langle g \right\rangle$ generated by any permutation $g \in S_{k}$.