Symmetric graphs of prime valency associated with some almost simple groups

DOI10.1016/j.disc.2021.112547zbMath1489.05158OpenAlexW3186851682MaRDI QIDQ1981667

Jing Jian Li, Zai Ping Lu, Wen Ying Zhu, Hong Ci Liao

Publication date: 6 September 2021

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112547

zbMATH Keywords

symmetric graphalmost simple groupquasiprimitive group

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Primitive groups (20B15) Group actions on combinatorial structures (05E18)

Uses Software

• GAP

Cites Work

• On edge-transitive graphs of square-free order
• Arc-transitive graphs of square-free order and small valency
• Subgroups of prime power index in a simple group
• Symmetric bipartite graphs of prime valency
• Arc-transitive Cayley graphs on nonabelian simple groups with prime valency
• \(3\)-designs from PGL\((2,q)\)
• The finite vertex-primitive and vertex-biprimitive $s$-transitive graphs for $s\ge 4$
• Vertex-transitive graphs: Symmetric graphs of prime valency
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• LOCALLY PRIMITIVE GRAPHS OF PRIME-POWER ORDER
• Analysing finite locally 𝑠-arc transitive graphs
• On the Weiss conjecture for finite locally primitive graphs
• Two-arc transitive graphs admitting a two-dimensional projective linear group
• On Permutation Groups of Degree a Product of Two Prime-Powers
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