Klein Four 2-slices and the Slices of $\Sigma^{\pm n}H\underline{\mathbb{Z}}$

Abstract

We determine a characterization of all 2-slices of equivariant spectra over the Klein four-group $C_2\times C_2$. We then describe all slices of integral suspensions of the equivariant Eilenberg-MacLane spectrum $H\underline{\mathbb{Z}}$ for the constant Mackey functor over $C_2\times C_2$.