On panel-regular \(\tilde{A}_2\) lattices

DOI10.1007/s10711-017-0247-8zbMath1423.20024arXiv1608.07141OpenAlexW3105194091MaRDI QIDQ1681812

Stefan Witzel

Publication date: 24 November 2017

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07141

zbMATH Keywords

difference setslatticesbuildingsSinger groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42)

Related Items

Proper proximality in non-positive curvature ⋮ On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow ⋮ A homogeneous \({\tilde{A}}_2\)-building with a non-discrete automorphism group is Bruhat-Tits ⋮ Veronese representation of projective Hjelmslev planes over some quadratic alternative algebras ⋮ singer_lattice

Uses Software

• GAP
• nauty
• OEIS
• GRAPE
• Traces
• Python
• GitHub

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Groups acting simply transitively on the vertices of a building of type \(\tilde A_ 2\). I
• Desarguessche Ebenen mit Nachbarelementen
• Triangle geometries
• Valuations on PTR's induced by triangle buildings
• Non-classical triangle buildings
• Linear groups containing a Singer cycle
• Endliche zyklische Ebenen
• A family of \(\widetilde A_n\)-groups
• Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
• Classical locally finite Tits chamber systems of rank 3
• A geometric construction of panel-regular lattices for buildings of types \(\widetilde A_2\) and \(\widetilde C_2\).
• Practical graph isomorphism. II.
• Coarse equivalences of Euclidean buildings. (With an appendix by Jeroen Schillewaert and Koen Struyve.)
• Hjelmslev-Ebenen mit verfeinerten Nachbarschaftsrelationen
• Reductive groups over a local field
• Endliche Inzidenzgruppen
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Triangle groups
• Isometry groups of non-positively curved spaces: discrete subgroups
• The Structure of Affine Buildings. (AM-168)
• On projective Hjelmslev planes of level n
• Desarguesian Klingenberg Planes
• On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow
• COCOMPACT LATTICES ON Ã_n BUILDINGS
• Finite Projective Plane Geometries and Difference Sets
• Automorphisms of fields of formal power series