{"paper":{"title":"On regular polytopes of order $2^n$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.GR","authors_text":"Dimitri Leemans, Dong-Dong Hou, Yanquan Feng","submitted_at":"2019-01-22T08:12:23Z","abstract_excerpt":"For each $d\\geq 3$, $n \\geq 10$, and $k_1, k_2, \\ldots, k_{d-1}\\geq 2$ with $k_1+k_2+\\ldots+k_{d-1}\\leq n-1$, we construct a regular $d$-polytope whose automorphism group is of order $2^n$ and whose Schl\\\"afli type is $\\{2^{k_1},2^{k_2}, \\ldots, 2^{k_{d-1}}\\}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07200","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"}