{"paper":{"title":"The subgroup determined by a certain ideal in a free group ring","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GR","authors_text":"Inder Bir S. Passi, Roman Mikhailov","submitted_at":"2015-08-18T18:05:59Z","abstract_excerpt":"For normal subgoups $R$ and $S$ of a free group $F$, an identification of the subgroup $F\\cap (1+\\mathfrak r\\mathfrak f\\mathfrak s)$ is derived, and it is shown that the the quotient $\\frac{F\\cap (1+\\mathfrak r\\mathfrak f\\mathfrak s)}{[R'\\cap S',\\, R\\cap S][R'\\cap S,\\,R'\\cap S][R\\cap S',\\, R\\cap S']}$ is, in general, non-trivial."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04400","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"}