Let ▫$G$▫ be a finite group having a factorisation ▫$G = AB$▫ into subgroups ▫$A$▫ and ▫$B$▫ with ▫$B$▫ cyclic and ▫$A \cap B = 1$,▫ and let ▫$b$▫ be a generator of ▫$B$▫. The associated ...skew-morphism is the bijective mapping ▫$f: A \to A$▫ well defined by the equality ▫$baB = f(a)B$▫ where ▫$a \in A$▫. In this paper, we shall classify all skew-morphisms of cyclic ▫$p$▫-groups where ▫$p$▫ is an odd prime.
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