On rank 3 permutation groups

DOI10.1016/0021-8693(75)90129-5zbMath0297.20002OpenAlexW2017724359MaRDI QIDQ1213951

S. Singh

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90129-5

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Finite simple groups and their classification (20D05) Characterization theorems for permutation groups (20B10)

Related Items (13)

Co-cliques and star complements in extremal strongly regular graphs ⋮ Strongly regular graphs having strongly regular subconstituents ⋮ 6-transitive graphs ⋮ Implications of vanishing Krein parameters on Delsarte designs, with applications in finite geometry ⋮ Primitive permutation groups of small degree. I, II ⋮ Ball packings with high chromatic numbers from strongly regular graphs ⋮ Unnamed Item ⋮ Algebraic characterizations of graph regularity conditions ⋮ Some properties of character products ⋮ On spin models, triply regular association schemes, and duality ⋮ Unnamed Item ⋮ Rank three permutation groups with rank three subconstituents ⋮ Strongly regular graphs with the \(7\)-vertex condition

Cites Work

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• Strongly regular graphs with (-1, 1, 0) adjacency matrix having eigenvalue 3
• Uniqueness of the graph of a rank three group
• Characterization of families of rank 3 permutation groups by the subdegrees. II
• Finite permutation groups of rank 3
• Graphs with Maximal Even Girth
• Bounding the rank of certain permutation groups

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