{"paper":{"title":"On the structure of abelian profinite groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.GR","authors_text":"Mar\\'ia V. Ferrer, Salvador Hern\\'andez","submitted_at":"2018-11-20T10:45:25Z","abstract_excerpt":"A subgroup $G$ of a product $\\prod\\limits_{i\\in\\mathbb{N}}G_i$ is \\emph{rectangular} if there are subgroups $H_i$ of $G_i$ such that $G=\\prod\\limits_{i\\in\\mathbb{N}}H_i$. We say that $G$ is \\emph{weakly rectangular} if there are finite subsets $F_i\\subseteq \\mathbb{N}$ and subgroups $H_i$ of $\\bigoplus\\limits_{j\\in F_i} G_j$ that satisfy $G=\\prod\\limits_{i\\in\\mathbb{N}}H_i$. %We say that $G$ is a \\emph{subdirect product} of the family $\\{G_i\\}_{i\\in I}$ if $G$ is weakly rectangular and %$G\\cap\\bigoplus\\limits_{i\\in I} G_i=\\bigoplus\\limits_{i\\in\\mathbb{N}}H_i$. In this paper we discuss when a c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.08171","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"}