Quantum computational algorithm for hidden symmetry subgroup problems on semi-direct product of cyclic groups

We characterize the algebraic structure of semi-direct product of cyclic groups, $\Z_{N}\rtimes\Z_{p}$, where $p$ is an odd prime number which does not divide $q-1$ for any prime factor $q$ of $N$, and provide a polynomial-time quantum computational algorithm solving hidden symmetry subgroup problem of the groups.
Comment: 12 pages, No figures. arXiv admin note: text overlap with arXiv:1107.2189 by other authors