Some sporadic geometries related to PG(3,2)

DOI10.1007/BF01198134zbMath0509.05026MaRDI QIDQ1838489

Arnold Neumaier

Publication date: 1984

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Leech latticeHoffman-Singleton graphnear octagonBuekenhout geometryalmost building

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of finite geometries (05B25) Other finite nonlinear geometries (51E25)

Related Items (25)

On certain geometries of type \(C_ n\) and \(F_ 4\) ⋮ Generalized towers of flag-transitive circular extensions of a non- classical \(C_ 3\)-geometry ⋮ Universal presheaves on group geometries, and modular representations ⋮ Minimal supports of geometric cycle codes ⋮ Some Graphs Associated with the Seven Point Plane ⋮ On Tits geometries of type \(C_ n\) ⋮ Some homotopy equivalences for sporadic geometries ⋮ A note on three rank four geometries for \(P\Omega_ 6^ -(3)\) ⋮ Strongly regular designs and coherent configurations of type \([{32\atop\;3}\)] ⋮ Nordstrom-Robinson code and \(A_7\)-geometry ⋮ Quadratic sets on the Klein quadric ⋮ Homogeneous compact geometries ⋮ Quotients of incidence geometries ⋮ Two sporadic geometries related to the Hoffman-Singleton graph ⋮ A quarry of geometries ⋮ On decomposition of modular representations from Cohen-Macaulay geometries ⋮ Dual linear extensions of generalised quadrangles ⋮ Computation of 2-modular sheaves and representations forL₄(2)A₇, 3S₆, andM₂₄ ⋮ On the number of planes in Neumaier's \(A_8\)-geometry ⋮ Some projective modules determined by sporadic geometries ⋮ Equiangular lines and the Lemmens-Seidel conjecture ⋮ On two nonbuilding but simply connected compact Tits geometries of type \(C_3\) ⋮ Once more about 80 Steiner triple systems on 15 points. ⋮ Minimal parabolic geometries for the sporadic groups ⋮ Metric characterizations of spherical and Euclidean buildings

Cites Work

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• Some geometries that are almost buildings
• Some exceptional 2-adic buildings
• Near \(n\)-gons and line systems
• A global code invariant under the Higman-Sims group
• On subgroups of \(\cdot 0\). I: Lattice stabilizers
• On Moore Graphs with Diameters 2 and 3
• Tits geometries over gf(2) Defined by groups over gf(3)
• Partial λ-Geometries of Small Nexus
• The basic diagram of a geometry
• Regular 2-Graphs
• Partial λ-Geometries and Generalized Hadamard Matrices Over Groups
• SYMMETRIC HADAMARD MATRICES OF ORDER 36

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