The slices of $S^n\wedge H\underset{‾}{\mathbb{Z}}$ for cyclic $p$-groups

The slice filtration is a filtration of equivariant spectra. While the tower is analogous to the Postnikov tower in the nonequivariant setting, complete slice towers are known for relatively few $G$-spectra. In this paper, we determine the slice tower for all $G$-spectra of the form $S^n \wedge H\underline{$\mathbb{Z}$}$where$n\geq 0$and$G$isacyclic$p$-groupfor$p$ an odd prime.