On locally semiprimitive graphs and a theorem of Weiss

DOI10.1016/j.jalgebra.2014.12.017zbMath1316.05060arXiv1405.1232OpenAlexW1967481514MaRDI QIDQ2259151

Luke Morgan, Michael Giudici

Publication date: 27 February 2015

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

Full work available at URL: https://arxiv.org/abs/1405.1232

zbMATH Keywords

arc-transitive graphsgraph-restrictive groupssemiprimitive groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Primitive groups (20B15)

Related Items (8)

On fixity of arc-transitive graphs ⋮ A theory of semiprimitive groups ⋮ Three local actions in 6‐valent arc‐transitive graphs ⋮ On orders of automorphisms of vertex-transitive graphs ⋮ Vertex-transitive graphs with local action the symmetric group on ordered pairs ⋮ Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree ⋮ An application of the Local C(G,T) Theorem to a conjecture of Weiss ⋮ On the order of Borel subgroups of group amalgams and an application to locally-transitive graphs.

Cites Work

• Unnamed Item
• On graph-restrictive permutation groups
• The theory of finite groups. An introduction.
• A characteristic subgroup of \(\Sigma_ 4\)-free groups
• On groups with every normal subgroup transitive or semiregular.
• Two local conditions on the vertex stabiliser of arc-transitive graphs and their effect on the Sylow subgroups
• A class of semiprimitive groups that are graph-restrictive
• ON THE ORDER OF ARC-STABILIZERS IN ARC-TRANSITIVE GRAPHS
• An application of p-factorization methods to symmetric graphs
• Graphs with a locally linear group of automorphisms
• ARC TRANSITIVITY IN GRAPHS

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