Skew-morphisms of cyclic p-groups.

Let G be a finite group having a factorisation G = AB into subgroups A and B with B cyclic and A∩B = 1, and let b be a generator of B. The associated skew-morphism is the bijective mapping f W A → A well-defined by the equality baB = f .a/B, where a ∊ A. In this paper, we shall classify all skew-morphisms of cyclic p-groups, where p is an odd prime. [ABSTRACT FROM AUTHOR]