{"paper":{"title":"The Kervaire-Laudenbach conjecture and presentations of simple groups","license":"","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Anton A. Klyachko","submitted_at":"2004-09-09T06:14:01Z","abstract_excerpt":"The statement ``no nonabelian simple group can be obtained from a nonsimple group by adding one generator and one relator\"\n 1) is equivalent to the Kervaire--Laudenbach conjecture;\n 2) becomes true under the additional assumption that the initial nonsimple group is either finite or torsion-free.\n Key words: Kervaire--Laudenbach conjecture, relative presentations, simple groups, car motion, cocar comotion.\n AMS MSC: 20E32, 20F05, 20F06."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0409146","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"}