The Klein four slices of positive suspensions of HF_2

TL;DR

This paper characterizes the slice filtration of positive suspensions of the equivariant Eilenberg-Mac Lane spectrum HF_2 over the Klein four-group, advancing understanding of equivariant stable homotopy theory.

Contribution

It provides a detailed description of the slices of positive suspensions of HF_2 in the equivariant setting for the Klein four-group, a novel computation in this area.

Findings

Explicit slice descriptions for positive suspensions of HF_2

Enhanced understanding of equivariant Eilenberg-Mac Lane spectra

New computational techniques for equivariant stable homotopy

Abstract

We describe the slices of positive integral suspensions of the equivariant Eilenberg-Mac Lane spectrum HF_2 for the constant Mackey functor over the Klein four-group $C_2\times C_2$.