Arc-transitive Dihedrants of Odd Prime-power Order

Let G be a finite group with identity element 1, and S be a subset of G such that ${1 \notin S}$ and S = S ^?1. The Cayley graph Cay(G, S) has vertex set G, and x, y in G are adjacent if and only if ${xy^{-1} \in S}$ . In this paper we classify the connected, arc-transitive Cayley graphs ${{\rm Cay}(D_{2p^n}, S),}$ where ${D_{2p^n}}$ is the dihedral group of order 2p ⁿ , p is an odd prime.