%0 Journal Article %T Geometric approach to stable homotopy groups of spheres, III. Abelian, cyclic and quaternionic structure for mappings with singularities %A Petr M. Akhmet'ev %J Mathematics %D 2010 %I arXiv %X Collection of (equivariant) $\rm{PL}$-mappings admitting a relative abelian, cyclic, quaternionic, bicyclic, and quaternionic-cyclic structures are constructed. %U http://arxiv.org/abs/1007.2805v3