Bounding the size of a vertex-stabiliser in a finite vertex-transitive graph

DOI10.1016/j.jctb.2011.11.004zbMath1241.05045arXiv1102.1543OpenAlexW2063811824WikidataQ56987560 ScholiaQ56987560MaRDI QIDQ414654

Cheryl E. Praeger, Gabriel Verret, Pablo Spiga

Publication date: 11 May 2012

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1543

zbMATH Keywords

Weiss conjecturealmost simple groupsnormal quotientsquasiprimitive groups

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) Permutation groups (20B99)

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A theory of semiprimitive groups ⋮ Asymptotic enumeration of vertex-transitive graphs of fixed valency ⋮ A class of semiprimitive groups that are graph-restrictive ⋮ Semiregular automorphisms of cubic vertex-transitive graphs and the abelian normal quotient method ⋮ On \(G\)-locally primitive graphs of locally twisted wreath type and a conjecture of Weiss ⋮ An application of the Local C(G,T) Theorem to a conjecture of Weiss ⋮ Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphs ⋮ Graphs with automorphism groups admitting composition factors of bounded rank ⋮ On the order of Borel subgroups of group amalgams and an application to locally-transitive graphs. ⋮ Semiregular elements in cubic vertex-transitive graphs and the restricted Burnside problem

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