Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5

DOI10.1016/j.jcta.2018.02.008zbMath1435.20004arXiv1606.02097OpenAlexW2414837967WikidataQ56987295 ScholiaQ56987295MaRDI QIDQ1747769

Cheryl E. Praeger, Gabriel Verret, Joanna B. Fawcett, Michael Giudici, Cai Heng Li, Gordon F. Royle

Publication date: 27 April 2018

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

Full work available at URL: https://arxiv.org/abs/1606.02097

zbMATH Keywords

maximal subgroupsalmost simple groupsarc-transitive graphprimitive groupvalency fivevertex-primitive graph

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Primitive groups (20B15)

Related Items

A transversal property for permutation groups motivated by partial transformations, An infinite family of vertex-primitive 2-arc-transitive digraphs, Finite hexavalent edge-primitive graphs, Biprimitive edge-transitive pentavalent graphs, Tetravalent half-arc-transitive graphs with unbounded nonabelian vertex stabilizers, Edge-primitive Cayley graphs on abelian groups and dihedral groups, Tetravalent half-arc-transitive graphs of order \(8p\), A generalization of Sims' conjecture for finite primitive groups and two point stabilizers in primitive groups, Primitive permutation groups with a solvable subconstituent of degree 7

Uses Software

• GAP
• Magma
• ATLAS Group Representations

Cites Work

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