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Klein four 2-slices and the slices of \(\Sigma ^{\pm n}H\underline{\mathbb {Z}}\)

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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 \(C_2\times C_2\).

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  1. Department of Mathematics, The University of Kentucky, Lexington, KY, 40506-0027, USA

    Carissa Slone

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  1. Carissa Slone
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Correspondence to Carissa Slone.

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Slone, C. Klein four 2-slices and the slices of \(\Sigma ^{\pm n}H\underline{\mathbb {Z}}\). Math. Z. 301, 3895–3938 (2022). https://doi.org/10.1007/s00209-022-03022-7

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  • DOI: https://doi.org/10.1007/s00209-022-03022-7

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