{"paper":{"title":"A presentation for the baseleaf preserving mapping class group of the punctured solenoid","license":"","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DS","authors_text":"D. Saric, R. C. Penner, S. Bonnot","submitted_at":"2006-08-02T20:16:50Z","abstract_excerpt":"We give a presentation for the baseleaf preserving mapping class group $Mod(\\S)$ of the punctured solenoid $\\S$. The generators for our presentation were introduced previously, and several relations among them were derived. In addition, we show that $Mod(\\S)$ has no non-trivial central elements. Our main tool is a new complex of triangulations of the disk upon which $Mod(\\S)$ acts."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0608066","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"}