%0 Journal Article %T Generalized Shioda-Inose Structures on K3 Surfaces %A H. Onsiper %A S. Sertoz %J Mathematics %D 1998 %I arXiv %X We examine the finite group actions on K3 and Abelian surfaces giving the same orbit space after desingularization. We show that when the group is not Z_2, then the Picard number of the K3 surface must be 19 or 20, and that in the latter case the Abelian surface is uniquely determined by the K3 surface. %U http://arxiv.org/abs/math/9809083v1