ON SCHEMES ORIGINATED FROM FERRERO PAIRS

The frobenius complement of a given frobenius group acts on its kernel. the schemewhich is arisen from the orbitals of this action is called ferrero pair scheme. in this paper, we showthat the fibers of a ferrero pair scheme consist of exactly one singleton fiber and every two fibers withmore than one point have the same cardinality. moreover, it is shown that the restriction of a ferreropair scheme on each fiber is isomorphic to a regular scheme. finally, we prove that for any prime p,there exists a ferrero pair p-scheme, and if p > 2, then the ferrero pair p-schemes of the same rankare all isomorphic.