Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions

DOI10.1080/00927872.2014.999930zbMath1401.11146arXiv1406.6894OpenAlexW1854360395MaRDI QIDQ2810531

Paul J. Truman

Publication date: 1 June 2016

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

Full work available at URL: https://arxiv.org/abs/1406.6894

zbMATH Keywords

Galois module structureHopf-Galois module theoryHopf-Galois structureassociated ordernonabelian extension

Mathematics Subject Classification ID

Integral representations (11S23) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Hopf algebras and their applications (16T05)

Related Items (8)

Commutative Hopf-Galois module structure of tame extensions ⋮ Commuting Hopf–Galois structures on a separable extension ⋮ Non‐abelian simple groups which occur as the type of a Hopf–Galois structure on a solvable extension ⋮ On ρ-conjugate Hopf–Galois structures ⋮ From endomorphisms to bi-skew braces, regular subgroups, the Yang-Baxter equation, and Hopf-Galois structures ⋮ Opposite skew left braces and applications ⋮ Correction to: Canonical nonclassical Hopf-Galois module structure of nonabelian Galois extensions ⋮ Abelian maps, bi-skew braces, and opposite pairs of Hopf-Galois structures

Cites Work

• Hopf-Galois module structure of tame biquadratic extensions
• A valuation criterion for normal basis generators of Hopf-Galois extensions in characteristic \(p\)
• On Fröhlich's conjecture for rings of integers of tame extensions
• Galois structure of ideals in wildly ramified abelian \(p\)-extensions of a \(p\)-adic field, and some applications
• Explicit integral Galois module structure of weakly ramified extensions of local fields
• Fixed-point free endomorphisms and Hopf Galois structures

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