{"paper":{"title":"Honda formal group as Galois module in unramified extensions of local fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Sergei Vostokov, Tigran Hakobyan","submitted_at":"2018-10-03T11:36:25Z","abstract_excerpt":"For given rational prime number $p$ consider the tower of finite extensions of fields $K_0/\\mathbb{Q}_p,$ $K/K_0, L/K, M/L$, where $K/K_0$ is unramified and $M/L$ is a Galois extension with Galois group $G$. Suppose one dimensional Honda formal group over the ring $\\mathcal{O}_K$, relative to the extension $K/K_0$ and uniformizer $\\pi\\in K_0$ is given. The operation $x\\underset{F}+y=F(x,y)$ sets a new structure of abelian group on the maximal ideal $\\mathfrak{p}_M$ of the ring $\\mathcal{O}_M$ which we will denote by $F(\\mathfrak{p}_M)$. In this paper the structure of $F(\\mathfrak{p}_M)$ as $\\m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01695","kind":"arxiv","version":1},"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"}