Transitive characteristically simple subgroups of finite quasiprimitive permutation groups

DOI10.1016/j.jalgebra.2019.06.004zbMath1446.20007arXiv1901.07285OpenAlexW2963662946MaRDI QIDQ2282988

Csaba Schneider, Pedro H. P. Daldegan

Publication date: 27 December 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07285

zbMATH Keywords

quasiprimitive groupsO'Nan-Scott classificationwreath products in product actioncharacteristically simple groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Extensions, wreath products, and other compositions of groups (20E22) Primitive groups (20B15) Subgroups of symmetric groups (20B35) General theory for finite permutation groups (20B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On finite permutation groups with a transitive cyclic subgroup.
• Flag-transitive collineation groups of finite projective spaces
• Primitive permutation groups with a regular subgroup.
• On classifying all full factorisations and multiple-factorisations of the finite almost simple groups
• Group factorisations, uniform automorphisms, and permutation groups of simple diagonal type
• On primitive overgroups of quasiprimitive permutation groups
• Transitive subgroups of primitive permutation groups
• EMBEDDING PERMUTATION GROUPS INTO WREATH PRODUCTS IN PRODUCT ACTION
• Regular subgroups of primitive permutation groups
• The Finite Simple Groups
• The Inclusion Problem for Finite Primitive Permutation Groups
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup
• On the Automorphism Groups of Cayley Graphs of Finite Simple Groups
• On Subgroups of Prime Power Index
• Permutation Groups and Cartesian Decompositions
• Transitive simple subgroups of wreath products in product action
• Innately transitive subgroups of wreath products in product action

This page was built for publication: Transitive characteristically simple subgroups of finite quasiprimitive permutation groups