Three types of inclusions of innately transitive permutation groups into wreath products in product action.

DOI10.1007/s11856-007-0004-zzbMath1128.20002arXivmath/0406600OpenAlexW2017091499WikidataQ56987802 ScholiaQ56987802MaRDI QIDQ995355

Csaba Schneider, Cheryl E. Praeger

Publication date: 3 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406600

zbMATH Keywords

inclusionsfinite 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)

Related Items (4)

EMBEDDING PERMUTATION GROUPS INTO WREATH PRODUCTS IN PRODUCT ACTION ⋮ Innately transitive subgroups of wreath products in product action ⋮ Intransitive Cartesian decompositions preserved by innately transitive permutation groups ⋮ Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasiprimitive groups and blow-up decompositions.
• 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
• On primitive overgroups of quasiprimitive permutation groups
• Factorisations of characteristically simple groups
• The maximal factorizations of the finite simple groups and their automorphism groups
• 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
• Intransitive Cartesian decompositions preserved by innately transitive permutation groups
• Innately transitive subgroups of wreath products in product action

This page was built for publication: Three types of inclusions of innately transitive permutation groups into wreath products in product action.