Quasiprimitive groups containing a transitive alternating group

DOI10.1016/j.jalgebra.2017.07.024zbMath1467.20002arXiv1508.07706OpenAlexW2218641736MaRDI QIDQ2401728

Binzhou Xia

Publication date: 4 September 2017

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

Full work available at URL: https://arxiv.org/abs/1508.07706

zbMATH Keywords

alternating groupsquasiprimitive groupsgroup factorizations

Mathematics Subject Classification ID

Simple groups: alternating groups and groups of Lie type (20D06) Primitive groups (20B15) Products of subgroups of abstract finite groups (20D40)

Related Items (5)

On isomorphisms of vertex-transitive graphs ⋮ Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups ⋮ 2-arc-transitive Cayley graphs on alternating groups ⋮ Prime-valent symmetric graphs admitting alternating transitive group ⋮ On locally primitive symmetric graph of valency twice prime

Uses Software

• Magma

Cites Work

• Factorisations of sporadic simple groups.
• Subgroups of prime power index in a simple group
• The factorizations of the finite exceptional groups of Lie type
• Factorizations of primitive permutation groups
• The Magma algebra system. I: The user language
• On primitive overgroups of quasiprimitive permutation groups
• \(k\)-homogeneous groups
• Finite Groups Which Factor as Product of an Alternating Group and a Symmetric Group
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• Regular subgroups of primitive permutation groups
• The maximal factorizations of the finite simple groups and their automorphism groups
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