Mutually normalizing regular permutation groups and Zappa-Szép extensions of the holomorph

DOI10.1216/rmj.2022.52.567OpenAlexW3027589032MaRDI QIDQ2152817

Timothy Kohl

Publication date: 11 July 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10989

zbMATH Keywords

regular subgroupholomorphmultiple holomorphZappa-Szép product

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Subgroups of symmetric groups (20B35)

Related Items (1)

Brace blocks from bilinear maps and liftings of endomorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The multiple holomorph of a finitely generated abelian group
• Classification of the Hopf Galois structures on prime power radical extensions
• Counting Hopf Galois structures on non-abelian Galois field extensions
• Multiple holomorphs of finite \(p\)-groups of class two
• Hopf Galois theory for separable field extensions
• On the multiple holomorph of a finite almost simple group
• Enumerating dihedral Hopf-Galois structures acting on dihedral extensions
• Knit products of some groups and their applications.
• On skew braces (with an appendix by N. Byott and L. Vendramin)
• Hopf-Galois structures on almost cyclic field extensions of 2-power degree
• On the hopf galois theory for separable field extensions
• On Finite Complete Presentations and Exact Decompositions of Semigroups
• Multiple Holomorphs of Dihedral and Quaternionic Groups
• Uniqueness of hopf galois structure for separable field extensions
• A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS
• Maximal Abelian Subgroups of the Symmetric Groups
• Multiple Holomorphs of Finitely Generated Abelian Groups

This page was built for publication: Mutually normalizing regular permutation groups and Zappa-Szép extensions of the holomorph