Finite \(p\)-groups of class two with a small multiple holomorph

DOI10.1515/JGTH-2023-0054arXiv2303.10638MaRDI QIDQ6122753

Andrea Caranti, Cindy (Sin Yi) Tsang

Publication date: 1 March 2024

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.10638

zbMATH Keywords

automorphismregular subgroupholomorphmultiple holomorphfinite \(p\)-group

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15) Subgroups of symmetric groups (20B35)

Cites Work

• The multiple holomorph of a finitely generated abelian group
• Multiple holomorphs of finite \(p\)-groups of class two
• Finite \(p\)-groups of class two with a large multiple holomorph
• On the multiple holomorph of groups of squarefree or odd prime power order
• A module-theoretic approach to abelian automorphism groups.
• A simple construction for a class of \(p\)-groups with all of their automorphisms central.
• Groups that have the same holomorph as a finite perfect group
• Multiple Holomorphs of Dihedral and Quaternionic Groups
• Multiple Holomorphs of Finitely Generated Abelian Groups

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