On ρ-conjugate Hopf–Galois structures

DOI10.1017/s0013091523000184zbMath1526.16029arXiv2208.12054OpenAlexW4367316550MaRDI QIDQ6098354

Paul J. Truman

Publication date: 13 June 2023

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.12054

zbMATH Keywords

Galois module structureHopf-Galois theoryHopf-Galois structureassociated orderskew left braces

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Integral representations (11S23) Hopf algebras and their applications (16T05) Other generalizations of groups (20N99)

Cites Work

• Unnamed Item
• On the Galois correspondence for Hopf Galois structures
• The structure of Hopf algebras giving Hopf-Galois structures on quaternionic extensions
• Fixed-point free pairs of homomorphisms and nonabelian Hopf-Galois structures
• Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications
• Hopf-Galois structures on Galois field extensions of degree \(pq\).
• Isomorphism problems for Hopf-Galois structures on separable field extensions
• Skew braces and Hopf-Galois structures of Heisenberg type
• Hopf Galois theory for separable field extensions
• Opposite skew left braces and applications
• Enumerating dihedral Hopf-Galois structures acting on dihedral extensions
• On skew braces (with an appendix by N. Byott and L. Vendramin)
• Abelian fixed point free endomorphisms and the Yang-Baxter equation
• On bi-skew braces and brace blocks
• The Hopf Galois Property in Subfield Lattices
• Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions
• Skew braces and the Yang–Baxter equation
• Uniqueness of hopf galois structure for separable field extensions
• Commuting Hopf–Galois structures on a separable extension
• Fixed-point free endomorphisms and Hopf Galois structures
• Abelian maps, bi-skew braces, and opposite pairs of Hopf-Galois structures
• Hopf Algebras and Galois Module Theory
• Skew left braces and isomorphism problems for Hopf–Galois structures on Galois extensions
• On the Galois correspondence theorem in separable Hopf Galois theory
• Counterexample to a conjecture about braces.

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