LOCALLY PRIMITIVE GRAPHS OF PRIME-POWER ORDER

DOI10.1017/S144678870800089XzbMath1160.05031OpenAlexW2134779576MaRDI QIDQ3624628

Li Ma, Jiangmin Pan, Cai Heng Li

Publication date: 30 April 2009

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s144678870800089x

zbMATH Keywords

Cayley graphscoversSchläfli graphlocally primitive graphsnormal cover of a complete bipartite graph

Mathematics Subject Classification ID

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

Related Items (17)

Distance-regular Cayley graphs with least eigenvalue \(-2\) ⋮ On automorphisms of Haar graphs of abelian groups ⋮ Vertex-quasiprimitive locally primitive graphs ⋮ Pentavalent Symmetric Graphs of Order Twice a Prime Square ⋮ Finite 3-connected-set-homogeneous locally \(2\mathbf{K}_n\) graphs and \(s\)-arc-transitive graphs ⋮ On automorphism groups of bi-quasiprimitive 2-arc-transitive graphs ⋮ Two-geodesic transitive graphs of order \(p^n\) with \(n \leq 3\) ⋮ A family of \(2\)-groups and an associated family of semisymmetric, locally \(2\)-arc-transitive graphs ⋮ On locally primitive graphs of order \(18p\) ⋮ Locally primitive Cayley graphs of dihedral groups ⋮ Tetravalent edge-transitive graphs of order \(p^2q\) ⋮ Finite vertex-primitive edge-transitive metacirculants. ⋮ Two-distance-primitive graphs ⋮ Symmetric graphs of prime valency associated with some almost simple groups ⋮ Finite locally primitive abelian Cayley graphs ⋮ LOCALLY PRIMITIVE GRAPHS AND BIDIRECT PRODUCTS OF GRAPHS ⋮ On locally primitive symmetric graph of valency twice prime

Cites Work

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• Ovoids and fans in the generalized quadrangle Q(4,2)
• Subgroups of prime power index in a simple group
• On finite affine 2-arc transitive graphs
• Finite locally-quasiprimitive graphs
• Automorphism groups and isomorphisms of Cayley digraphs
• Finite s -Arc Transitive Graphs of Prime-Power Order
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup
• Finite edge-transitive Cayley graphs and rotary Cayley maps

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