dc.contributor.author | Dugger, Daniel | |
dc.contributor.author | Hazel, Christy | |
dc.contributor.author | May, Clover | |
dc.date.accessioned | 2024-01-15T17:07:53Z | |
dc.date.available | 2024-01-15T17:07:53Z | |
dc.date.created | 2023-07-28T13:10:57Z | |
dc.date.issued | 2023 | |
dc.identifier.issn | 0022-4049 | |
dc.identifier.uri | https://hdl.handle.net/11250/3111615 | |
dc.description.abstract | For the cyclic group we give a complete description of the derived category of perfect complexes of modules over the constant Mackey ring , for ℓ a prime. This is fairly simple for ℓ odd, but for depends on a new splitting theorem. As corollaries of the splitting theorem we compute the associated Picard group and the Balmer spectrum for compact objects in the derived category, and we obtain a complete classification of finite modules over the -equivariant Eilenberg–MacLane spectrum . We also use the splitting theorem to give new and illuminating proofs of some facts about -graded Bredon cohomology, namely Kronholm's freeness theorem [12], [11] and the structure theorem of C. May | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier B. V. | en_US |
dc.relation.uri | https://doi.org/10.1016/j.jpaa.2023.107473 | |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Equivariant Z/ℓ-modules for the cyclic group C2 | en_US |
dc.title.alternative | Equivariant Z/ℓ-modules for the cyclic group C2 | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.volume | 228 | en_US |
dc.source.journal | Journal of Pure and Applied Algebra | en_US |
dc.source.issue | 3 | en_US |
dc.identifier.doi | 10.1016/j.jpaa.2023.107473 | |
dc.identifier.cristin | 2163855 | |
dc.relation.project | Norges forskningsråd: 313472 | en_US |
dc.relation.project | Trond Mohn stiftelse: TMS2020TMT02 | en_US |
dc.source.articlenumber | 107473 | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |