{"paper":{"title":"Minimal characteristic bisets for fusion systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.RT"],"primary_cat":"math.GR","authors_text":"Matthew Gelvin, Sune Precht Reeh","submitted_at":"2014-03-26T22:44:36Z","abstract_excerpt":"We show that every saturated fusion system $\\mathcal{F}$ has a unique minimal $\\mathcal{F}$-characteristic biset $\\Lambda_\\mathcal{F}$. We examine the relationship of $\\Lambda_\\mathcal{F}$ with other concepts in $p$-local finite group theory: In the case of a constrained fusion system, the model for the fusion system is the minimal $\\mathcal{F}$-characteristic biset, and more generally, any centric linking system can be identified with the $\\mathcal{F}$-centric part of $\\Lambda_\\mathcal{F}$ as bisets. We explore the grouplike properties of $\\Lambda_\\mathcal{F}$, and conjecture an identificatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6884","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"}