Automorphisms of permutational wreath products

DOI10.1016/0021-8693(88)90121-4zbMath0651.20030OpenAlexW2081471947MaRDI QIDQ1106327

Fletcher Gross

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90121-4

zbMATH Keywords

automorphismsnumber of orbitsstabilizercharacteristic subgroupstransitive permutation group

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Extensions, wreath products, and other compositions of groups (20E22) General theory for finite permutation groups (20B05)

Related Items

Automorphisms of induced extensions, Systems of imprimitivity for wreath products, On the probability of generating prosoluble groups., Semicompleteness of permutational wreath products.

Cites Work

• Structure of the automorphism group of a nonstandard wreath product
• On normal subgroups which are direct products
• Groups of automorphisms of standard wreath products
• Automorphisms of a \(p\)-group
• On the structure of standard wreath products of groups
• Representations and automorphisms of some wreath products
• Endliche Gruppen I
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