Geometries for sporadic groups related to the Petersen graph. II

DOI10.1016/S0195-6698(89)80007-1zbMath0709.20014OpenAlexW2016505944MaRDI QIDQ921114

Sergey V. Shpectorov, Alexander A. Ivanov

Publication date: 1989

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(89)80007-1

zbMATH Keywords

representationsSteiner systemLeech latticeBaby MonsterdiagramsMathieu groupsConway groupgeometries of sporadic groupsJanko group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Buildings and the geometry of diagrams (51E24) Finite simple groups and their classification (20D05) Combinatorial geometries and geometric closure systems (51D20)

Related Items

The adjacency matrix of a graph as a data table: a geometric perspective ⋮ The universal nonabelian representation of the Petersen type geometry related to \(J_ 4\) ⋮ The flag-transitive tilde and Petersen-type geometries are all known ⋮ A quarry of geometries ⋮ Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5 ⋮ The universal 2-cover of the \(P\)-geometry \({\mathcal G}(Co_ 2)\) ⋮ A geometric characterization of Fischer's Baby Monster ⋮ The last flag-transitive \(P\)-geometry ⋮ Some rank five geometries related to the Mathieu group \(M_{23}\) ⋮ Structure of the maximal -local geometry point-line collinearity graph ⋮ The P-geometry for \(M_{23}\) has no non-trivial 2-coverings

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