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Group of p-th Roots of Unity Modulo n

Authors: Rochdi Omami, Mohamed Omami, Raouf Ouni


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, unity, modulo, p-th roots

Digital Object Identifier (DOI):

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