Pentavalent symmetric graphs admitting transitive non-abelian characteristically simple groups

DOI10.1016/j.disc.2017.12.011zbMath1380.05101arXiv1708.05793OpenAlexW2963680261MaRDI QIDQ1699531

Jia-Li Du, Yan Quan Feng

Publication date: 23 February 2018

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

Full work available at URL: https://arxiv.org/abs/1708.05793

zbMATH Keywords

Cayley graphregular permutation groupsymmetric graphvertex-transitive graphsimple group

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Symmetric groups (20B30)

Cites Work

• Unnamed Item
• A note on pentavalent \(s\)-transitive graphs
• On cubic \(s\)-arc transitive Cayley graphs of finite simple groups
• 5-arc transitive cubic Cayley graphs on finite simple groups
• On the automorphism groups of symmetric graphs admitting an almost simple group
• Subgroups of prime power index in a simple group
• On primitive overgroups of quasiprimitive permutation groups
• Pentavalent symmetric graphs admitting vertex-transitive non-abelian simple groups
• The primitive permutation groups of degree \(2^a\cdot 3^b\).
• On finite simple groups of characteristic 2 type
• The primitive permutation groups of degree less than 2500.
• Cubic graphs admitting transitive non-abelian characteristically simple groups
• Vertex-transitive graphs: Symmetric graphs of prime valency
• Fintte two-arc transitive graphs admitting a suzuki simple group
• Finite two-are transitive graphs admitting a ree simple group

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