{ "id": "1510.02077", "version": "v1", "published": "2015-10-07T19:51:09.000Z", "updated": "2015-10-07T19:51:09.000Z", "title": "The slices of $S^n \\wedge H\\underline{\\mathbb{Z}}$ for cyclic $p$-groups", "authors": [ "Carolyn Yarnall" ], "categories": [ "math.AT" ], "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 $G$-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.", "revisions": [ { "version": "v1", "updated": "2015-10-07T19:51:09.000Z" } ], "analyses": { "subjects": [ "55N91", "55P91" ], "keywords": [ "complete slice towers", "equivariant spectra", "odd prime", "slice filtration", "postnikov tower" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }