On the order of vertex-stabilisers in vertex-transitive graphs with local group \(\mathrm{C}_p \times \mathrm{C}_p\) or \(\mathrm{C}_p\, \mathrm{wr}\, \mathrm{C}_2\)

DOI10.1016/j.jalgebra.2015.09.033zbMath1329.05306arXiv1311.4308OpenAlexW2242905242MaRDI QIDQ903937

Pablo Spiga, Gabriel Verret

Publication date: 15 January 2016

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

Full work available at URL: https://arxiv.org/abs/1311.4308

zbMATH Keywords

vertex-transitive graphedge-transitive graphhalf-arc-transitive grapharc-transitive graphvertex stabiliser

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Group actions on combinatorial structures (05E18)

Related Items (12)

Constructing half-arc-transitive graphs of valency four with prescribed vertex stabilizers ⋮ Asymptotic enumeration of vertex-transitive graphs of fixed valency ⋮ Cubic arc-transitive \(k\)-multicirculants ⋮ On the radius and the attachment number of tetravalent half-arc-transitive graphs ⋮ Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method ⋮ On orders of automorphisms of vertex-transitive graphs ⋮ Finite edge-transitive oriented graphs of valency four: a global approach ⋮ Recipes for edge-transitive tetravalent graphs ⋮ Linking rings structures and semisymmetric graphs: Combinatorial constructions ⋮ Tetravalent half-arc-transitive graphs with unbounded nonabelian vertex stabilizers ⋮ On the maximum order of nilpotent transitive permutation groups. ⋮ Tetravalent vertex- and edge-transitive graphs over doubled cycles

Uses Software

• Magma

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