Characterization of families of rank 3 permutation groups by the subdegrees. I

DOI10.1007/BF01220896zbMath0245.20003OpenAlexW2055366986MaRDI QIDQ2555145

D. G. Higman

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1007/bf01220896

Mathematics Subject Classification ID

Graph theory (05C99) Multiply transitive finite groups (20B20) Characterization theorems for permutation groups (20B10)

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Parameters of semilinear Higman graphs, Small vertex-symmetric Higman graphs with \(\mu=6\), On block designs arising from rank 3 graphs, On automorphisms of semitriangular graphs with \(\mu = 8\), On automorphisms of semitriangular graphs with \(\mu = 7\), Automorphisms of semitriangular graphs with \(\mu =8\), Automorphisms of Higman graphs with \(\mu=6\), Vertex-transitive semi-triangular graphs with \(\mu=7\), Schurity and separability of quasiregular coherent configurations, Automorphisms of semitriangular graphs with \(\mu = 6\), Steiner systems which admit block transitive automorphism groups of small rank, Biplanes, Characterization of families of rank 3 permutation groups by the subdegrees. II, Permutation group approach to association schemes, Locally triangular graphs and rectagraphs with symmetry, A category theory for programming languages, Edge-symmetric semitriangular Higman graphs

Cites Work

• 4-homogeneous groups
• Strongly regular graphs, partial geometries and partially balanced designs
• Finite permutation groups of rank 3
• The Uniqueness of the $\mathrm{L}_2$ Association Scheme
• On the Uniqueness of the Triangular Association Scheme
• On the Exceptional Case in a Characterization of the Arcs of a Complete Graph
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