{"paper":{"title":"Towards a Jordan decomposition of blocks of finite reductive groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Michel E. Enguehard","submitted_at":"2013-11-30T13:43:31Z","abstract_excerpt":"\\input amssym.def \\input amssym.tex Let $G$ be a connected algebraic reductive group over an algebraic closure of a prime field ${\\Bbb F}_p$, defined over ${\\Bbb F}_q$ thanks to a Frobenius $F$. Let $\\ell$ be a prime different from $p$. Let $B$ be an $\\ell$-block of the subgroup of rational points $G^F$. Under mild restrictions on $\\ell$, we show the existence of an algebraic reductive group $H$ defined over ${\\Bbb F}_q$ {\\it via} a Frobenius $F$, and of a unipotent $\\ell$-block $b$ of $H^F$ such that : the respective defect groups of $b$ and $B$ are isomorphic, the associated Brauer categorie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0106","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"}