Factorisations of characteristically simple groups

DOI10.1016/S0021-8693(02)00111-4zbMath1014.20012OpenAlexW2056068109WikidataQ56987936 ScholiaQ56987936MaRDI QIDQ1858186

Cheryl E. Praeger, Csaba Schneider

Publication date: 12 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00111-4

zbMATH Keywords

finite simple groupsgroup factorizationsfull factorizationscharacteristically simple groupsstrong multiple factorizations

Mathematics Subject Classification ID

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

Related Items (7)

The geometry of diagonal groups ⋮ Schreier type theorems for bicrossed products. ⋮ Quotients and inclusions of finite quasiprimitive permutation groups. ⋮ Innately transitive 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. ⋮ Classifying complements for groups. Applications

Cites Work

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• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• On classifying all full factorisations and multiple-factorisations of the finite almost simple groups
• Subgroup lattices of groups
• The maximal factorizations of the finite simple groups and their automorphism groups
• The Inclusion Problem for Finite Primitive Permutation Groups
• Ein Einfacher Beweis für den Satz von Zsigmondy über primitive Primeiler von AN-1
• Intransitive Cartesian decompositions preserved by innately transitive permutation groups

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