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Also, Lehnert shows in his thesis that $V$ embeds inside the $co\\mathcal{CF}$ group $\\mathrm{QAut}(\\mathcal{T}_{2,c})$, which is a group of particular bijections on the vertices of an infinite binary $2$-edge-colored tree, and he conjectures that $\\mathrm{QAut}(\\mathcal{T}_{2,c})$ is a universal $co\\mathcal{CF}$ group. We show that $\\mathrm{QAut}(\\mathcal{T}_{2,c})$ embeds into $V$, and thus "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1312.1855","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-12-06T13:33:00Z","cross_cats_sorted":[],"title_canon_sha256":"9eaa91c8c9a64ced111059dd0003538c82686dde16ab2cef4475aeafc68a76e9","abstract_canon_sha256":"418571b831cea55cba51e2c201130f10355bf05e0b52ba80463410ae83085c84"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:29.290266Z","signature_b64":"mQqv/Eua42v0+jkuA85RR/HuPoOuc+4U43XUALMwxn1aZBg6Xnw4V9orc147XVilbUt/j8aedRBsrjCq+sJmCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"508d752f64e561e2a84f84eefaacb23e2c8c167310883542f3efa12aaaebae12","last_reissued_at":"2026-05-18T00:44:29.289608Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:29.289608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Embeddings into Thompson's group $V$ and $co\\mathcal{CF}$ groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Collin Bleak, Francesco Matucci, Max Neunh\\\"offer","submitted_at":"2013-12-06T13:33:00Z","abstract_excerpt":"Lehnert and Schweitzer show in [20] that R. 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