On the vertex-stabiliser in arc-transitive digraphs
From MaRDI portal
Publication:602707
DOI10.1016/j.jctb.2010.03.002zbMath1230.05141OpenAlexW2059616457MaRDI QIDQ602707
Primož Potočnik, Gabriel Verret
Publication date: 5 November 2010
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jctb.2010.03.002
Related Items
Pentavalent 1-transitive digraphs with non-solvable automorphism groups ⋮ Constructing half-arc-transitive graphs of valency four with prescribed vertex stabilizers ⋮ On the order of vertex-stabilisers in vertex-transitive graphs with local group \(\mathrm{C}_p \times \mathrm{C}_p\) or \(\mathrm{C}_p\, \mathrm{wr}\, \mathrm{C}_2\) ⋮ On orders of automorphisms of vertex-transitive graphs ⋮ Finite edge-transitive oriented graphs of valency four: a global approach ⋮ Infinite arc-transitive and highly-arc-transitive digraphs ⋮ Smallest tetravalent half-arc-transitive graphs with the vertex-stabiliser isomorphic to the dihedral group of order 8 ⋮ Four-valent oriented graphs of biquasiprimitive type ⋮ On the number of fixed points of automorphisms of vertex-transitive graphs ⋮ Distinguishing numbers of finite 4-valent vertex-transitive graphs ⋮ On infinite, cubic, vertex-transitive graphs with applications to totally disconnected, locally compact groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Highly arc transitive digraphs
- Tetravalent graphs admitting half-transitive group actions: Alternating cycles
- A characterization of certain families of 4-valent symmetric graphs
- Bridging semisymmetric and half-arc-transitive actions on graphs
- Normalizers of p-subgroups in finite groups
- Graphs and finite permutation groups
- On the point stabilizers of transitive groups with non-self-paired suborbits of length 2
- ON THE ORDER OF ARC-STABILIZERS IN ARC-TRANSITIVE GRAPHS
- A Class of Finite Group-Amalgams
- An application of p-factorization methods to symmetric graphs
- Semi-transitive graphs
- Finite graphs of valency 4 and girth 4 admitting half-transitive group actions
- Isomorphic Subgroups of Finite p-Groups. I
