EMBEDDING PERMUTATION GROUPS INTO WREATH PRODUCTS IN PRODUCT ACTION

DOI10.1017/S1446788712000110zbMath1244.05115arXiv1108.3611OpenAlexW2963825197WikidataQ56987563 ScholiaQ56987563MaRDI QIDQ2898890

Csaba Schneider, Cheryl E. Praeger

Publication date: 12 July 2012

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

Full work available at URL: https://arxiv.org/abs/1108.3611

zbMATH Keywords

wreath productspermutation groupsembedding theoremsproduct action

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Abstract finite groups (20D99) Subgroups of symmetric groups (20B35) General theory for finite permutation groups (20B05)

Related Items (3)

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 ⋮ Locally s-arc-transitive graphs arising from product action

Cites Work

• Overgroups of primitive groups. II.
• Three types of inclusions of innately transitive permutation groups into wreath products in product action.
• Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups.
• Completely transitive codes in Hamming graphs
• OVERGROUPS OF PRIMITIVE GROUPS
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• Transitive simple subgroups of wreath products in product action
• Wreath decompositions of finite permutation groups
• Intransitive Cartesian decompositions preserved by innately transitive permutation groups
• Innately transitive subgroups of wreath products in product action

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