ON THE ORDER OF ARC-STABILIZERS IN ARC-TRANSITIVE GRAPHS

DOI10.1017/S0004972709000550zbMath1177.05054MaRDI QIDQ3651092

Gabriel Verret

Publication date: 8 December 2009

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

zbMATH Keywords

arc-transitive grapharc-stabilizer

Mathematics Subject Classification ID

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

Related Items (16)

On fixity of arc-transitive graphs ⋮ A theory of semiprimitive groups ⋮ A class of semiprimitive groups that are graph-restrictive ⋮ On the vertex-stabiliser in arc-transitive digraphs ⋮ ON GRAPHS OF PRIME VALENCY ADMITTING A SOLVABLE ARC-TRANSITIVE GROUP ⋮ Three local actions in 6‐valent arc‐transitive graphs ⋮ On intransitive graph-restrictive permutation groups ⋮ On graph-restrictive permutation groups ⋮ On 2-arc-transitive graphs of order \(kp^{n}\) ⋮ Vertex-transitive graphs with local action the symmetric group on ordered pairs ⋮ On the orders of arc-transitive graphs ⋮ On the order of arc-stabilisers in arc-transitive graphs with prescribed local group ⋮ On locally semiprimitive graphs and a theorem of Weiss ⋮ ON THE ORDER OF ARC-STABILISERS IN ARC-TRANSITIVE GRAPHS, II ⋮ A generalization of Sims' conjecture for finite primitive groups and two point stabilizers in primitive groups ⋮ On infinite, cubic, vertex-transitive graphs with applications to totally disconnected, locally compact groups

Cites Work

• Unnamed Item
• A list of 4-valent 2-arc-transitive graphs and finite faithful amalgams of index (4, 2)
• Bridging semisymmetric and half-arc-transitive actions on graphs
• A census of semisymmetric cubic graphs on up to 768 vertices
• Locally dihedral amalgams of odd type.
• Normalizers of p-subgroups in finite groups
• Graphs and finite permutation groups
• Doubly primitive vertex stabilisers in graphs
• On finite G-locally primitive graphs and the Weiss conjecture
• On the Symmetry of Cubic Graphs
• On the Weiss conjecture for finite locally primitive graphs
• Graphs with a locally linear group of automorphisms
• ARC TRANSITIVITY IN GRAPHS

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