Generic Sylow theorems for the reductive groups over finite fields

DOI10.1007/BF01444619zbMath0820.20057OpenAlexW2912194787MaRDI QIDQ1190810

Gunter Malle, Michel Broué

Publication date: 26 September 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164912

zbMATH Keywords

group of rational pointsroot systemscyclotomic polynomialsmaximal torusorders of finite groupsSylow theoremsconnected reductive linear algebraic groupsBurnside's theoremelementary abelian subgroups\(\Phi_ d(q)\)-subgroups\(\Phi_ d(x)\)-Sylow subgroups\(p\)-subgroups of finite groupsanalogues to Sylow's theoremdirect products of cyclic subgroupsnatural representation of Weyl groupsorder polynomialstoral subsystems

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subgroup theorems; subgroup growth (20E07) Simple, semisimple, reductive (super)algebras (17B20) Groups with a (BN)-pair; buildings (20E42) Associated Lie structures for groups (20F40)

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