Bounds and quotient actions of innately transitive groups

DOI10.1017/S1446788700009356zbMath1097.20004MaRDI QIDQ5697526

John Bamberg

Publication date: 18 October 2005

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

zbMATH Keywords

primitive permutation groupsfinite permutation groupsminimal normal subgroupsplinthsinnately transitive permutation groupsquasiprimitive permutation groupspermutational transformationsquotient actions

Mathematics Subject Classification ID

Primitive groups (20B15) Subgroups of symmetric groups (20B35) General theory for finite permutation groups (20B05) Characterization theorems for permutation groups (20B10)

Related Items (3)

A theory of semiprimitive groups ⋮ Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree ⋮ Point-primitive, line-transitive generalised quadrangles of holomorph type

Cites Work

• Quotients and inclusions of finite quasiprimitive permutation groups.
• An O'Nan-Scott Theorem for Finite Quasiprimitive Permutation Groups and an Application to 2-Arc Transitive Graphs
• On the orders of Primitive Permutation Groups
• Finite permutation groups with a transitive minimal normal subgroup

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