A note on automorphism groups of symmetric cubic graphs

DOI10.1142/S0219498822500189OpenAlexW3086370601MaRDI QIDQ5031458

Jicheng Ma

Publication date: 16 February 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822500189

zbMATH Keywords

automorphism groupcubic graphsymmetric graphminimal normal subgroupquasi-primitive

Mathematics Subject Classification ID

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

Cites Work

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• A refined classification of symmetric cubic graphs
• The automorphisms of bi-Cayley graphs
• Regular groups of automorphisms of cubic graphs
• On 4-valent symmetric graphs
• Automorphisms of graphs and coverings
• Automorphism groups of symmetric graphs of valency 3
• Edge-transitive bi-Cayley graphs
• Cubic bi-Cayley graphs over abelian groups
• On the Symmetry of Cubic Graphs
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• Cubic symmetric graphs of order twice an odd prime-power
• The Primitive Permutation Groups of Odd Degree
• Arc-transitive cubic abelian bi-Cayley graphs and BCI-graphs

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