Intransitive Cartesian decompositions preserved by innately transitive permutation groups

DOI10.1090/S0002-9947-07-04223-7zbMath1138.20004arXivmath/0405241OpenAlexW2109957119WikidataQ56987756 ScholiaQ56987756MaRDI QIDQ5429471

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

Publication date: 30 November 2007

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

Full work available at URL: https://arxiv.org/abs/math/0405241

zbMATH Keywords

finite permutation groupsminimal normal subgroupsplinthsCartesian decompositionsinnately transitive permutation groupsCartesian systems of subgroupswreath products in product action

Mathematics Subject Classification ID

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 (7)

EMBEDDING PERMUTATION GROUPS INTO WREATH PRODUCTS IN PRODUCT ACTION ⋮ Quasiprimitive groups and blow-up decompositions. ⋮ Bounding the size of a vertex-stabiliser in a finite vertex-transitive graph ⋮ Three types of inclusions of innately transitive permutation groups into wreath products in product action. ⋮ 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 ⋮ Factorisations of characteristically simple groups

Cites Work

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• On primitive overgroups of quasiprimitive permutation groups
• Factorisations of characteristically simple groups
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• The Inclusion Problem for Finite Primitive Permutation Groups
• Primitive Subgroups of Wreath Products in Product Action
• Transitive simple subgroups of wreath products in product action
• Wreath decompositions of finite permutation groups
• Finite permutation groups with a transitive minimal normal subgroup
• Endliche Gruppen I
• Innately transitive subgroups of wreath products in product action

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