On the order of arc-stabilisers in arc-transitive graphs with prescribed local group

DOI10.1090/S0002-9947-2014-05992-8zbMath1354.20002arXiv1207.5593OpenAlexW2035634923MaRDI QIDQ5420134

Gabriel Verret, Pablo Spiga, Primož Potočnik

Publication date: 11 June 2014

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

Full work available at URL: https://arxiv.org/abs/1207.5593

zbMATH Keywords

arc-transitive graphsgraph-restrictive grouplocal grouparc-stabiliser

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group actions on combinatorial structures (05E18)

Related Items

ON GRAPHS OF PRIME VALENCY ADMITTING A SOLVABLE ARC-TRANSITIVE GROUP ⋮ Three local actions in 6‐valent arc‐transitive graphs ⋮ On the order of vertex-stabilisers in vertex-transitive graphs with local group \(\mathrm{C}_p \times \mathrm{C}_p\) or \(\mathrm{C}_p\, \mathrm{wr}\, \mathrm{C}_2\) ⋮ Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree ⋮ A generalization of Sims' conjecture for finite primitive groups and two point stabilizers in primitive groups

Cites Work

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• On the Symmetry of Cubic Graphs
• ON THE ORDER OF ARC-STABILIZERS IN ARC-TRANSITIVE GRAPHS
• On Transitive Permutation Groups
• ON THE ORDER OF ARC-STABILISERS IN ARC-TRANSITIVE GRAPHS, II

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