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

DOI10.1006/jabr.1997.7275zbMath0907.20033OpenAlexW1971145382WikidataQ56988134 ScholiaQ56988134MaRDI QIDQ1270989

Cheryl E. Praeger, Robert W. Baddeley

Publication date: 4 March 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7275

zbMATH Keywords

maximal subgroupsalmost simple groupsquasiprimitive groupsfull factorizationsmultiple factorizations

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40)

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Coprime subdegrees for primitive permutation groups and completely reducible linear groups. ⋮ Quotients and inclusions of finite quasiprimitive permutation groups. ⋮ The smallest vertex-primitive 2-arc-transitive digraph ⋮ On the automorphism groups of quasiprimitive almost simple graphs ⋮ On the maximal number of coprime subdegrees in finite primitive permutation groups ⋮ Innately transitive subgroups of wreath products in product action ⋮ Transitive simple subgroups of wreath products in product action ⋮ Intransitive Cartesian decompositions preserved by innately transitive permutation groups ⋮ Three types of inclusions of innately transitive permutation groups into wreath products in product action. ⋮ Transitive characteristically simple subgroups of finite quasiprimitive permutation groups ⋮ Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphs ⋮ On primitive overgroups of quasiprimitive permutation groups ⋮ Vertex-primitive \(s\)-arc-transitive digraphs of linear groups ⋮ Regular subgroups of primitive permutation groups ⋮ Transitive subgroups of primitive permutation groups ⋮ Vertex-primitive \(s\)-arc-transitive digraphs of alternating and symmetric groups ⋮ Factorisations of characteristically simple groups

Cites Work

• A characterization of some locally finite simple groups of Lie type
• The factorizations of the finite exceptional groups of Lie type
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• Maximal subgroups of \(PSp_4(2^n)\) containing central elations or noncentered skew elations
• Factorizations of primitive permutation groups
• On primitive overgroups of quasiprimitive permutation groups
• The maximal factorizations of the finite simple groups and their automorphism groups
• The Rank 3 Permutation Representations of the Finite Classical Groups
• Finite Permutation Groups and Finite Simple Groups
• Endliche Gruppen I
• Transitive Permutation Groups of Prime Degree
• On the Overgroups of Irreducible Subgroups of the Finite Classical Groups
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