{"paper":{"title":"On the higher topological Hochschild homology of $\\mathbb{F}_p$ and commutative $\\mathbb{F}_p$-group algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Ayelet Lindenstrauss, Birgit Richter, Inna Zakharevich, Irina Bobkova, Kate Poirier","submitted_at":"2013-12-22T13:03:00Z","abstract_excerpt":"We extend Torleif Veen's calculation of higher topological Hochschild homology ${\\sf THH}^{[n]}_*(\\mathbb{F}_p)$ from $n\\leq 2p$ to $n\\leq 2p+2$ for $p$ odd, and from $n=2$ to $n\\leq 3$ for $p=2$. We calculate higher Hochschild homology ${\\sf HH}_*^{[n]}(k[x])$ over $k$ for any integral domain $k$, and ${\\sf HH}_*^{[n]}(\\mathbb{F}_p[x]/x^{p^\\ell})$ for all $n>0$. We use this and \\'etale descent to calculate ${\\sf HH}_*^{[n]}(\\mathbb{F}_p[G])$ for all $n>0$ for any cyclic group $G$, and therefore also for any finitely generated abelian group $G$. We show a splitting result for higher ${\\sf THH}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6378","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"}