{"paper":{"title":"Isomorphisms of Brin-Higman-Thompson groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Conchita Mart\\'inez-P\\'erez, Warren Dicks","submitted_at":"2011-12-07T16:10:28Z","abstract_excerpt":"Let $m, m', r, r',t, t'$ be positive integers with $r, r' \\ge 2$. Let $L_r$ denote the ring that is universal with an invertible $1 \\times r$ matrix. Let $M_m(L_r^{\\otimes t})$ denote the ring of $m \\times m$ matrices over the tensor product of $t$ copies of $L_r$. In a natural way, $M_m(L_r^{\\otimes t})$ is a partially ordered ring with involution. Let $PU_m(L_r^{\\otimes t})$ denote the group of positive unitary elements. We show that $PU_m(L_r^{\\otimes t})$ is isomorphic to the Brin-Higman-Thompson group $t V_{r,m}$; the case $t =1$ was found by Pardo, that is, $PU_m(L_r)$ is isomorphic to t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.1606","kind":"arxiv","version":3},"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"}