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

The Slice Spectral Sequence for certain $RO(C_{p^n})$-graded Suspensions of $H\underline{\mathbb Z}$