Group of p-th Roots of Unity Modulo n Year: 2010 Volume: 4 Issue: 7 967 - 978 Pages Authors: Rochdi Omami Mohamed Omami Raouf Ouni Abstract: Let n ≥ 3 be an integer and p be a prime odd number. Let us consider Gp(n) the subgroup of (Z/nZ)* defined by : Gp(n) = {x ∈ (Z/nZ)* / xp = 1}. In this paper, we give an algorithm that computes a generating set of this subgroup. Keywords: Group p-th roots modulo unity.