Innately transitive subgroups of wreath products in product action

DOI10.1090/S0002-9947-05-03750-5zbMath1097.20003arXivmath/0312352OpenAlexW1922984788MaRDI QIDQ5714399

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

Publication date: 2 January 2006

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

Full work available at URL: https://arxiv.org/abs/math/0312352

zbMATH Keywords

finite permutation groupsminimal normal subgroupsplinthsCartesian decompositionsinnately transitive permutation groupsCartesian systems of subgroupswreath products in product actioncharacteristically simple groups

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Primitive groups (20B15) 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

Group factorisations, uniform automorphisms, and permutation groups of simple diagonal type ⋮ EMBEDDING PERMUTATION GROUPS INTO WREATH PRODUCTS IN PRODUCT ACTION ⋮ OVERGROUPS OF PRIMITIVE GROUPS ⋮ Quasiprimitive groups and blow-up decompositions. ⋮ 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

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