The slices of Sn∧HZ‾S^n \wedge H\underline{\mathbb{Z}} for cyclic pp-groups

preprint2015arXivOpen access

Abstract

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 GG-spectra. In this paper, we determine the slice tower for all GG-spectra of the form Sn∧HZ‾S^n \wedge H\underline{\mathbb{Z}} where n≥0n\geq 0 and GG is a cyclic pp-group for pp an odd prime.

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