\(s\)-arc-transitive graphs and normal subgroups

DOI10.1016/j.jalgebra.2014.08.032zbMath1301.05172OpenAlexW2018991246MaRDI QIDQ468707

Cai Heng Li, Shu Jiao Song, Seress, Ákos

Publication date: 7 November 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.08.032

zbMATH Keywords

normal subgroups\(s\)-arc-transitive graphslocally primitivenormal covers

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General theory for finite permutation groups (20B05)

Related Items (17)

ON EDGE-PRIMITIVE GRAPHS WITH SOLUBLE EDGE-STABILIZERS ⋮ On prime-valent symmetric Cayley graphs of finite simple groups ⋮ Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups ⋮ 2-arc-transitive Cayley graphs on alternating groups ⋮ Finite 3-connected-set-homogeneous locally \(2\mathbf{K}_n\) graphs and \(s\)-arc-transitive graphs ⋮ Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster ⋮ Two-geodesic transitive graphs of order \(p^n\) with \(n \leq 3\) ⋮ Two-arc-transitive graphs of odd order. I ⋮ A classification of finite antiflag-transitive generalized quadrangles ⋮ On basic 2-arc-transitive graphs ⋮ Prime-valent symmetric graphs admitting alternating transitive group ⋮ A characterisation on arc-transitive graphs of prime valency ⋮ Two-arc-transitive graphs of odd order. II ⋮ Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphs ⋮ A classification of finite locally 2-transitive generalized quadrangles ⋮ Locally s-arc-transitive graphs arising from product action ⋮ On locally primitive symmetric graph of valency twice prime

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• Finite 𝑠-arc transitive Cayley graphs and flag-transitive projective planes

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