{"paper":{"title":"Bounds on the number of simple modules in blocks of finite groups of Lie type","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.RT","authors_text":"Ruwen Hollenbach","submitted_at":"2019-07-24T10:37:26Z","abstract_excerpt":"Let $G$ be a simple, simply connected linear algebraic group of exceptional type defined over $\\mathbb{F}_q$ with Frobenius endomorphism $F: G \\to G$. In this work we give upper bounds on the number of simple modules in the quasi-isolated $\\ell$-blocks of $G^F$ and $G^F/Z(G^F)$ when $\\ell$ is bad for $G$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.10353","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"}