Homology, Homotopy and Applications

Volume 19 (2017)

Number 1

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

Pages: 1 – 22

DOI: https://dx.doi.org/10.4310/HHA.2017.v19.n1.a1


Carolyn Yarnall (Department of Mathematics, University of Kentucky, Lexington, Ky., U.S.A.)


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 $G$ is a cyclic $p$-group for $p$ an odd prime.


slice filtration, equivariant homotopy

2010 Mathematics Subject Classification

55N91, 55P91

Published 6 June 2017