Some semiclassical parabolic systems of rank \(4\)

DOI10.1006/jabr.1998.7622zbMath0923.20022OpenAlexW2048687511MaRDI QIDQ1283941

Corinna Wiedorn

Publication date: 31 May 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7622

zbMATH Keywords

Lie groupsDynkin diagramssemiclassical parabolic systems

Mathematics Subject Classification ID

Geometric group theory (20F65) Buildings and the geometry of diagrams (51E24) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Finite simple groups and their classification (20D05) Groups with a (BN)-pair; buildings (20E42)

Related Items

A certain uniqueness result for the tilde geometry for \(F_4(2)\) ⋮ A semiclassical parabolic system related to \(F_4\)

Cites Work

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• Finite BN-pairs of rank two and even characteristic, having a non-trivial Cartan subgroup
• On a parabolic system of type \(M_{24}\)
• Two-graphs and doubly transitive groups
• An infinite family of simply connected flag-transitive tilde geometries
• A semiclassical parabolic system related to \(F_4\)
• Classification of certain types of tilde geometries
• A tilde geometry for \(F_ 4(2)\)
• An \(F_1\)-module for the \(3U_4(3)\)-amalgam
• A certain uniqueness result for the tilde geometry for \(F_4(2)\)
• Semiclassical parabolic systems related to \(M_{24}\)
• Classical locally finite Tits chamber systems of rank 3
• Natural representations of some tilde and Petersen type geometries
• Groups Containing a Subdiagram
• On the Minimal Parabolic System Related to M₂₄

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