On 2-transitive graphs of girth 5

DOI10.1016/S0195-6698(87)80047-1zbMath0645.05043MaRDI QIDQ1102980

Alexander A. Ivanov

Publication date: 1987

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

zbMATH Keywords

automorphism groupgirthMoore graphMathieu groupsdistance-transitivegroup amalgam

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Triple systems (05B07) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

On strongly closed subgraphs of highly regular graphs, Natural representations of some tilde and Petersen type geometries, On distance transitive graphs in which the stabilizer of a point contains an alternating group, On locally projective graphs of girth 5, The flag-transitive tilde and Petersen-type geometries are all known, A quarry of geometries, Geometries for sporadic groups related to the Petersen graph. II, A classification of flag-transitive classical \(c.C_ 2\)-geometries by means of generators and relations, Amalgams Determined By Locally Projective Actions, Symmetry properties of subdivision graphs, Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5, The universal 2-cover of the \(P\)-geometry \({\mathcal G}(Co_ 2)\), On subgraphs in distance-regular graphs, A geometric characterization of Fischer's Baby Monster, The last flag-transitive \(P\)-geometry, Finite symmetric graphs with two‐arc transitive quotients II, The P-geometry for \(M_{23}\) has no non-trivial 2-coverings, Characterising vertex-star transitive and edge-star transitive graphs

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
• Unnamed Item
• On graphs with edge-transitive automorphism groups
• Steiner triple systems with doubly transitive automorphism groups: A corollary to the classification theorem for finite simple groups
• On 2-arc transitive graphs of girth 4
• Kantentransitive Graphen und Gruppen vom Rang 2. (Edge transitive graphs and groups of rank 2)
• Diagrams for geometries and groups
• Near \(n\)-gons and line systems
• Primitive permutation groups and a characterization of the odd graphs
• Quotients of infinite reflection groups
• The friendly giant
• Automorphic graphs and the Krein condition
• A new finite simple group of order 86,775,571,046,077,562,880 which possesses \(M_{24}\) and the full covering group of \(M_{22}\) as subgroups
• A 2-local characterization of Janko's simple group \(J_4\).
• Distance-regular graphs and (s,c,a,k)-graphs
• Determination of a class of primitive permutation groups
• The nonexistence of rank three permutation groups of degree 3250 and subdegree 57
• A geometry for the O'Nan-Sims group connected with the Petersen graph
• On the Symmetry of Cubic Graphs
• Presentations for the simple groups g, l0⁵≪ |g| < 10⁶
• Geometries for sporadic groups related to the petersen graph. I
• Finite Permutation Groups and Finite Simple Groups
• Bounding the Valency of Polygonal Graphs With Odd Girth
• Graphs and Permutation Groups with Projective Subconstituents
• Groups with a (B, N)–pair and locally transitive graphs
• A Characterization of PSL(2, 31) and its Geometry
• Distance-transitive graphs of valency 5, 6 and 7
• A characterization of \(J_1\) in terms of its geometry
• Automorphisms of trivalent graphs
• A new 5‐arc‐transitive cubic graph