Transitive simple subgroups of wreath products in product action

DOI10.1017/S1446788700010156zbMath1097.20002arXivmath/0210057OpenAlexW2025886344WikidataQ56987877 ScholiaQ56987877MaRDI QIDQ4658826

Csaba Schneider, Cheryl E. Praeger, Robert W. Baddeley

Publication date: 21 March 2005

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210057

zbMATH Keywords

finite simple groupsfinite permutation groupsplinthsCartesian decompositionsinnately transitive permutation groupsCartesian systems of subgroupswreath products in product action

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Simple groups: alternating groups and groups of Lie type (20D06) Primitive groups (20B15) Products of subgroups of abstract finite groups (20D40) Subgroups of symmetric groups (20B35) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20) Characterization theorems for permutation groups (20B10)

Related Items (13)

Group factorisations, uniform automorphisms, and permutation groups of simple diagonal type ⋮ Conjugacy classes and centralisers in wreath products ⋮ EMBEDDING PERMUTATION GROUPS INTO WREATH PRODUCTS IN PRODUCT ACTION ⋮ OVERGROUPS OF PRIMITIVE GROUPS ⋮ Quasiprimitive groups and blow-up decompositions. ⋮ 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. ⋮ Transitive characteristically simple subgroups of finite quasiprimitive permutation groups ⋮ On the arithmetic product of combinatorial species ⋮ Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphs ⋮ Cliques and colorings in generalized Paley graphs and an approach to synchronization

Cites Work

• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• On classifying all full factorisations and multiple-factorisations of the finite almost simple groups
• Factorizations of primitive permutation groups
• On primitive overgroups of quasiprimitive permutation groups
• The Inclusion Problem for Finite Primitive Permutation Groups
• Endliche Gruppen I
• Innately transitive subgroups of wreath products in product action

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