Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the sims conjecture. III

DOI10.1134/S0081543817090140zbMath1386.20001OpenAlexW4247350587WikidataQ123166857 ScholiaQ123166857MaRDI QIDQ1744984

Vladimir I. Trofimov, Anatoli Kondrat'ev

Publication date: 20 April 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543817090140

zbMATH Keywords

sims conjecturealmost simple groupfinite primitive permutation groupgroup of classical Lie typestabilizer of a point

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06) Primitive groups (20B15)

Cites Work

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• On the maximal subgroups of the finite classical groups
• Stabilizers of graph vertices and a strengthened version of the Sims conjecture
• Normalizers of the Sylow 2-subgroups in finite simple groups.
• On finite groups with Sylow 2-subgroups of type \(A_n\), \(n=8,9,10,11\)
• Finite simple groups with Sylow 2-subgroups of type PSL(4, q), q odd
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

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