The multiple holomorph of split metacyclic p-groups

DOI10.1080/00927872.2022.2059079OpenAlexW3017186410MaRDI QIDQ5089959

Cindy (Sin Yi) Tsang

Publication date: 15 July 2022

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

Full work available at URL: https://arxiv.org/abs/2004.07084

zbMATH Keywords

regular subgroupssplit metacyclic \(p\)-groupsholomorphmultiple holomorph

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

• The multiple holomorph of a finitely generated abelian group
• The automorphism group of a split metacyclic \(p\)-group.
• Multiple holomorphs of finite \(p\)-groups of class two
• The multiple holomorph of a semidirect product of groups having coprime exponents
• On the multiple holomorph of a finite almost simple group
• On the multiple holomorph of groups of squarefree or odd prime power order
• Groups that have the same holomorph as a finite perfect group
• The automorphism group of a split metacyclic 2-group.
• Multiple Holomorphs of Dihedral and Quaternionic Groups
• Presentations of metacyclic groups
• Multiple Holomorphs of Finitely Generated Abelian Groups

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