The slice spectral sequence for certain $$RO({C_{p^{n}}} )$$ R O ( C p n ) -graded suspensions of $$H{\underline{\mathbf{Z}}}$$ H Z ̲

Abstract

We study the slice filtration and associated spectral sequence for a family of \(RO(C_{p^{n}})\)-graded suspensions of the Eilenberg–MacLane spectrum for the constant Mackey functor \(\underline{\mathbb Z}\). Since \(H\underline{\mathbb Z}\) is the zero slice of the sphere spectrum, this begins an analysis of how one can describe the slices of a suspension in terms of the original slices.