Structure and Presentations of Lie-Type Groups

DOI10.1112/S0024611500012442zbMath1028.20034OpenAlexW1967305126MaRDI QIDQ2766372

Franz G. Timmesfeld

Publication date: 28 January 2002

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611500012442

zbMATH Keywords

parabolic subgroupsparabolic systemscentral extensionsMoufang polygonsroot systemsgroups of Lie typeChevalley groupsMoufang planessimple algebraic groupsBN-pairstwisted Chevalley groupsMoufang quadranglesabstract root subgroupsChevalley commutator formulaflag transitive subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Generators, relations, and presentations of groups (20F05) Buildings and the geometry of diagrams (51E24) Simple groups: alternating groups and groups of Lie type (20D06) Groups with a (BN)-pair; buildings (20E42)

Related Items (5)

The Curtis-Tits-presentation. ⋮ Automorphisms and opposition in spherical buildings of exceptional type, I ⋮ Groups with root system of type \(B_\ell\), \(C_\ell\) or \(F_4\). ⋮ Subgroups of rank one groups ⋮ Groups with a central factor of Lie type

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