Seminormal and subnormal subgroup lattices for transitive permutation groups

DOI10.1017/S144678870001137XzbMath1100.20001OpenAlexW1974030579WikidataQ56987837 ScholiaQ56987837MaRDI QIDQ5469588

Cheryl E. Praeger

Publication date: 19 May 2006

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

Full work available at URL: https://doi.org/10.1017/s144678870001137x

zbMATH Keywords

primitive permutation groupswreath productstransitive permutation groupschains of subgroupsquasiprimitive permutation groupsinnately transitive groupslattices of seminormal subgroups

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) 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 (2)

Rank three innately transitive permutation groups and related 2-transitive groups ⋮ Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree

Cites Work

• Unnamed Item
• Subgroup lattices of groups
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• Distance Transitive Graphs and Finite Simple Groups
• Generalized Wreath Products of Permutation Groups
• Finite permutation groups with a transitive minimal normal subgroup
• Notes on infinite permutation groups
• Line-transitive, point quasiprimitive automorphism groups of finite linear spaces are affine or almost simple.

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