Stabilizers of graph vertices and a strengthened version of the Sims conjecture

zbMath0986.20002MaRDI QIDQ1594297

Anatoli Kondrat'ev, Vladimir I. Trofimov

Publication date: 28 January 2001

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

normal subgroupsballsSims conjectureprimitive automorphism groupsconjugate maximal subgroupsfinite connected graphsThompson-Wielandt theorem

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05) Primitive groups (20B15)

Related Items (6)

On limit graphs of finite vertex-primitive graphs ⋮ Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. II ⋮ Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. IV ⋮ Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. I. ⋮ Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the sims conjecture. III ⋮ A strong version of the Sims conjecture for primitive parabolic permutation representations of finite simple groups Lie types \(G_2\), \(F_4\) and \(E_6\)

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