Multiple Holomorphs of Dihedral and Quaternionic Groups

DOI10.1080/00927872.2014.943842zbMath1342.20001OpenAlexW1602481635MaRDI QIDQ3448297

Timothy Kohl

Publication date: 23 October 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.943842

zbMATH Keywords

regular permutation groupsregular subgroupsmultiple holomorphs

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Subgroups of symmetric groups (20B35)

Related Items (13)

On the holomorph of finite semisimple groups ⋮ Groups that have the same holomorph as a finite perfect group ⋮ Mutually normalizing regular permutation groups and Zappa-Szép extensions of the holomorph ⋮ The multiple holomorph of split metacyclic p-groups ⋮ The multiple holomorph of a semidirect product of groups having coprime exponents ⋮ Finite \(p\)-groups of class two with a small multiple holomorph ⋮ Bi-skew braces and regular subgroups of the holomorph ⋮ The multiple holomorph of a finitely generated abelian group ⋮ Multiple holomorphs of finite \(p\)-groups of class two ⋮ Enumerating dihedral Hopf-Galois structures acting on dihedral extensions ⋮ On the multiple holomorph of groups of squarefree or odd prime power order ⋮ Finite \(p\)-groups of class two with a large multiple holomorph ⋮ Простейшие надгруппы регулярных представлений неабелевых $2$-групп с циклической подгруппой индекса $2$

Uses Software

• GAP

Cites Work

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• Hopf Galois theory for separable field extensions
• Groups of order \(4p\), twisted wreath products and Hopf-Galois theory.
• On the hopf galois theory for separable field extensions
• Some Applications of the Wreath Product Construction
• Uniqueness of hopf galois structure for separable field extensions
• Maximal Abelian Subgroups of the Symmetric Groups

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