Abstract
A finite group G is an exact product of two subgroups A and B if G = AB and A ∩ B = { 1 G } . In this paper, for all odd numbers k ≥ 3 , using the theory of skew morphisms and associated extended power functions, we present a classification of exact products of a cyclic group and a dihedral group D 2 k . As an application the regular generalized Cayley maps of odd valency over cyclic groups are classified.
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