The 2-adic affine building of type \(\tilde A_ 2\) and its finite projections

DOI10.1016/0097-3165(85)90070-6zbMath0583.20026OpenAlexW2023956395MaRDI QIDQ1070036

Thomas Meixner, Peter Köhler, Michael J. Wester

Publication date: 1985

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(85)90070-6

zbMATH Keywords

projective planesFrobenius grouptriangle groupsrank 3 chamber systemsregular automorphism groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Combinatorial aspects of finite geometries (05B25) Finite simple groups and their classification (20D05) Combinatorial geometries and geometric closure systems (51D20)

Related Items (7)

Representations of Subgroups of Universal Triangle Groups ⋮ One Class Genera of Lattice Chains Over Number Fields ⋮ On discrete chamber-transitive automorphism groups of affine buildings ⋮ Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). II: The cases \(q=2\) and \(q=3\) ⋮ Boundary \(C^\ast\)-algebras of triangle geometries ⋮ The affine building of type \(\tilde A_ 2\) over a local field of characteristic two ⋮ Enumerating A₃(2) Blueprints, and an Application

Cites Work

• Some exceptional 2-adic buildings
• Triangle geometries
• Tits geometries and parabolic systems of rank 3
• Some locally finite flag-transitive buildings
• Reductive groups over a local field
• The Subgroups of PSL(3, q) for odd q
• Unnamed Item

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