Geometries for sporadic groups related to the petersen graph. I
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Publication:3781257
DOI10.1080/00927878808823611zbMath0639.20011OpenAlexW2046369216MaRDI QIDQ3781257
Sergey V. Shpectorov, Alexander A. Ivanov
Publication date: 1988
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927878808823611
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)
Related Items (14)
The adjacency matrix of a graph as a data table: a geometric perspective ⋮ A rank six geometry related to the McLaughlin sporadic simple group ⋮ On 2-transitive graphs of girth 5 ⋮ The flag-transitive tilde and Petersen-type geometries are all known ⋮ A quarry of geometries ⋮ Representation and classification of Coxeter monoids ⋮ Geometries for sporadic groups related to the Petersen graph. II ⋮ Some polar towers ⋮ An infinite family of Petersen geometries with nonlinear diagram ⋮ The universal 2-cover of the \(P\)-geometry \({\mathcal G}(Co_ 2)\) ⋮ Structure of the maximal -local geometry point-line collinearity graph ⋮ Geometries and amalgams of J1 ⋮ Geometries and amalgams of J1 ⋮ Some graphs related to the small Mathieu groups
Cites Work
- Finite geometries of type \(C_ 3\) with flag-transitive groups
- Minimal parabolic geometries for the sporadic groups
- Diagrams for geometries and groups
- The construction of some automorphic graphs
- Buildings of spherical type and finite BN-pairs
- Nonassociative commutative algebras for triple covers of 3-transposition groups
- ABSTRACT PROPERTIES OF THE SIMPLE SPORADIC GROUPS
- Some remarks on representation theory in finite geometry
- Locally petersen graphs
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