The slices of quaternionic Eilenberg–Mac Lane spectra

Guillou, Bertrand J; Slone, Carissa

doi:10.2140/agt.2025.25.3341

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The slices of quaternionic Eilenberg–Mac Lane spectra

Bertrand J Guillou and Carissa Slone

Algebraic & Geometric Topology 25 (2025) 3341–3384

DOI: 10.2140/agt.2025.25.3341

Abstract

We compute the slices and slice spectral sequence of integral suspensions of the equivariant Eilenberg–Mac Lane spectra $H \underline{ℤ}$ for the group of equivariance $Q_{8}$ . Along the way, we compute the Mackey functors ${\underline{π}}_{k ρ} H \underline{ℤ}$ .

Keywords

slice filtration, quaternion group

Mathematical Subject Classification

Primary: 55N91

Secondary: 55P91, 55Q91

References

Publication

Received: 19 January 2023

Revised: 25 April 2024

Accepted: 28 June 2024

Published: 1 October 2025

Authors

Bertrand J Guillou
Department of Mathematics The University of Kentucky Lexington, KY United States
https://www.ms.uky.edu/~guillou/
Carissa Slone
Rochester, NY United States
https://sites.google.com/view/carissaslone/home

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Volume 25, issue 6 (2025)