The slice spectral sequence for the cyclic group of order p

TL;DR

This paper develops the slice spectral sequence framework for analyzing suspensions of Eilenberg-MacLane spectra associated with Mackey functors over cyclic groups of prime order, advancing computational tools in equivariant stable homotopy theory.

Contribution

It provides a detailed description of the slice tower and spectral sequence for these spectra, extending previous methods to a broader class of Mackey functors and suspensions.

Findings

Explicit construction of the slice tower for cyclic p-groups

Calculation of the slice spectral sequence for various Mackey functors

Enhanced computational techniques for equivariant spectra

Abstract

We describe the slice tower and slice spectral sequence for arbitrary suspensions of the Eilenberg-MacLane spectrum of an arbitrary Mackey functor for the cyclic group of prime order.