The smallest vertex-primitive 2-arc-transitive digraph (Q2700951)

scientific article; zbMATH DE number 7680216

Language	Label	Description	Also known as
English	The smallest vertex-primitive 2-arc-transitive digraph	scientific article; zbMATH DE number 7680216

Statements

instance of

scholarly article

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title

The smallest vertex-primitive 2-arc-transitive digraph (English)

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27 April 2023

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full work available at URL

https://arxiv.org/abs/2206.05908

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zbMATH Keywords

2-arc-transitive digraph

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primitive group

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automorphism group of digraph

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describes a project that uses

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Large subgroups of simple groups.

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On the maximal subgroups of the finite classical groups

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On classifying all full factorisations and multiple-factorisations of the finite almost simple groups

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The maximal subgroups of

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Q3934684

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The Magma algebra system. I: The user language

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The maximal subgroups of the low-dimensional finite classical groups.

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Q3992965

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Base sizes for sporadic simple groups.

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Q5662096

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Q3682663

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Vertex-primitive \(s\)-arc-transitive digraphs admitting a Suzuki or Ree group

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Q3684278

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Maximal subgroups of \(G_2(2^n)\)

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The maximal subgroups of the exceptional groups \(F_4(q)\), \(E_6(q)\) and \(^2\!E_6(q)\) and related almost simple groups

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Q3077960

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Factorisations of sporadic simple groups.

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An infinite family of vertex-primitive 2-arc-transitive digraphs

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Vertex-primitive \(s\)-arc-transitive digraphs of linear groups

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Vertex-quasiprimitive 2-arc-transitive digraphs

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Q2716030

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On the maximum orders of elements of finite almost simple groups and primitive permutation groups

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The embedding \(O(2m,2^ k)\leq Sp(2m,2^ k)\)

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Q4839675

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The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups

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The maximal subgroups of the Steinberg triality groups \(3D_ 4(q)\) and their automorphism groups

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Q3996618

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The Maximal Subgroups of E 6 (2) and Aut(E 6 (2))

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Factorizations of almost simple groups with a factor having many nonsolvable composition factors

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Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups

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A classification of the maximal subgroups of the finite alternating and symmetric groups

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On the 2-Closures of Finite Permutation Groups

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The maximal factorizations of the finite simple groups and their automorphism groups

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The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)

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On the orders of primitive groups

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Vertex-primitive \(s\)-arc-transitive digraphs of alternating and symmetric groups

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Highly arc transitive digraphs

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Maximal subgroups of sporadic groups

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JALGEBRA.2023.02.028

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Sitelinks

Mathematics(1 entry)

mardi Publication:2700951