{"paper":{"title":"On p-periodicity in the Farrell cohomology of Sp(p-1,Z[1/n])","license":"","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GR","authors_text":"Cornelia M. Busch","submitted_at":"2005-09-29T13:09:32Z","abstract_excerpt":"We describe isomorphism patterns in the $p$-primary part of the Farrell cohomology ring ${\\hat{H}}^*(Sp(p-1,Z[1/n]),Z)$ for any odd prime $p$ and suitable integers $0\\neq n\\in Z$, where $Sp(p-1,Z[1/n])$ denotes the group of symplectic $(p-1)\\times (p-1)$--matrices. Moreover, we determine the precise $p$-period of this ring."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0509693","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}