Semiregular elements in cubic vertex-transitive graphs and the restricted Burnside problem

DOI10.1017/S0305004114000188zbMath1297.05113arXiv1211.7335OpenAlexW2152115579MaRDI QIDQ2877361

Pablo Spiga

Publication date: 22 August 2014

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.7335

zbMATH Keywords

Cayley grapharc-transitive graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (9)

Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method ⋮ Three local actions in 6‐valent arc‐transitive graphs ⋮ Cubic vertex-transitive graphs admitting automorphisms of large order ⋮ On orders of automorphisms of vertex-transitive graphs ⋮ Semiregular automorphisms in vertex-transitive graphs with a solvable group of automorphisms ⋮ Finite cubic graphs admitting a cyclic group of automorphism with at most three orbits on vertices ⋮ Classification of cubic vertex-transitive tricirculants ⋮ Semiregular automorphisms in vertex-transitive graphs of order \(3p^2\) ⋮ Cubic vertex-transitive graphs of girth six

Cites Work

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• Semiregular automorphisms of vertex-transitive cubic graphs
• Transitive Permutation Groups Without Semiregular Subgroups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Groups with exponent six

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