Computation of Hopf Galois structures on separable extensions and classification of those for degree twice an odd prime power

DOI10.1142/S0219498821500493zbMath1479.12002arXiv1904.05174WikidataQ126389606 ScholiaQ126389606MaRDI QIDQ4988239

Teresa Crespo, Marta Salguero

Publication date: 12 May 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.05174

zbMATH Keywords

Galois theoryHopf algebraHopf actioncomputational algebra system Magma

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Hopf algebras and their applications (16T05)

Uses Software

• Magma

Cites Work

• Unnamed Item
• Classification of the Hopf Galois structures on prime power radical extensions
• Hopf Galois structures on separable field extensions of odd prime power degree
• Hopf Galois theory for separable field extensions
• Computation of Hopf Galois structures on low degree separable extensions and classification of those for degrees \(p^2\) and \(2p\)
• Constructing transitive permutation groups.
• Hopf algebras and Galois theory
• On the hopf galois theory for separable field extensions
• Uniqueness of hopf galois structure for separable field extensions
• On the Galois correspondence theorem in separable Hopf Galois theory

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