A Phan-type theorem for \(\text{Sp}(2n,q)\)

DOI10.1016/S0021-8693(03)00131-5zbMath1026.20006OpenAlexW2118442504MaRDI QIDQ1399173

Ralf Köhl (né Gramlich), Sergey V. Shpectorov, Corneliu G. Hoffman

Publication date: 30 July 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00131-5

zbMATH Keywords

finite simple groupsflag-transitive automorphism groupstwin buildingsgroups of linear transformations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) 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

Odd-dimensional orthogonal groups as amalgams of unitary groups. I: General simple connect\-ed\-ness., Bass–Serre theory and counting rank two amalgams, Classification of Curtis-Tits and Phan amalgams with 3-spherical diagram, Weak Phan systems of type \(C_n\)., On a Quasi-Phan Theorem for Orthogonal Groups, Final group topologies, Kac-Moody groups and Pontryagin duality, Curtis-Tits groups generalizing Kac-Moody groups of type \(\widetilde A_{n-1}\)., The sphericity of the Phan geometries of type $B_n$ and $C_n$ and the Phan-type theorem of type $F_4$, Presentations of finite simple groups: A quantitative approach, Even-dimensional orthogonal groups as amalgams of unitary groups., The local recognition of reflection graphs of spherical Coxeter groups, A Curtis-Tits-Phan theorem for the twin-building of type \(A_{n-1}\), The complete Phan-type theorem for Sp(2n,q)

Cites Work

• Minimal degree for a permutation representation of a classical group
• A new proof of a theorem of Phan
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