Non‐abelian simple groups which occur as the type of a Hopf–Galois structure on a solvable extension

DOI10.1112/blms.12860zbMath1528.20017arXiv2210.14689MaRDI QIDQ6064905

Cindy (Sin Yi) Tsang

Publication date: 11 December 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.14689

zbMATH Keywords

holomorphHopf-Galois structureregular actionalmost simple groupskew bracerealizable pair

Mathematics Subject Classification ID

Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40) Subgroups of symmetric groups (20B35)

Cites Work

• Unnamed Item
• Fixed-point free pairs of homomorphisms and nonabelian Hopf-Galois structures
• Braces, radical rings, and the quatum Yang-Baxter equation.
• Solubility criteria for Hopf-Galois structures
• The Magma algebra system. I: The user language
• Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications
• Non-existence of Hopf-Galois structures and bijective crossed homomorphisms
• Hopf Galois theory for separable field extensions
• Hopf-Galois structures on finite extensions with almost simple Galois group
• On the multiple holomorph of a finite almost simple group
• Connections between properties of the additive and the multiplicative groups of a two-sided skew brace
• Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions
• Skew braces and the Yang–Baxter equation
• On groups which are the product of two solvable subgroups
• Uniqueness of hopf galois structure for separable field extensions
• HOPF–GALOIS STRUCTURES ON FIELD EXTENSIONS WITH SIMPLE GALOIS GROUPS
• Hopf–Galois structures on finite extensions with quasisimple Galois group
• Hopf Algebras and Galois Module Theory
• Hopf-Galois structures on cyclic extensions and skew braces with cyclic multiplicative group
• Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups
• On the solvability of regular subgroups in the holomorph of a finite solvable group

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