Hopf Algebras and Galois Module Theory

DOI10.1090/surv/260zbMath1489.16001OpenAlexW3209247126MaRDI QIDQ5020894

Alan Koch, Timothy Kohl, Cornelius Greither, Paul J. Truman, Kevin Keating, Robert G. Underwood, Lindsay N. Childs

Publication date: 7 January 2022

Published in: Mathematical Surveys and Monographs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/surv/260

zbMATH Keywords

Hopf-Galois theoryGalois correspondencescaffoldregular subgroupholomorphHopf-Galois structureassociated orderGalois module theoryHopf orderskew braceGreither-Pareigis theorystable and semistable Hopf-Galois extension

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Ramification and extension theory (11S15) Subgroups of symmetric groups (20B35) Hopf algebras and their applications (16T05) Yang-Baxter equations (16T25) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)

Related Items (9)

Non‐abelian simple groups which occur as the type of a Hopf–Galois structure on a solvable extension ⋮ Skew bracoids ⋮ On the connection between Hopf–Galois structures and skew braces ⋮ On ρ-conjugate Hopf–Galois structures ⋮ Hopf-Galois structures on separable field extensions of degree \(pq\) ⋮ On bi-skew braces and brace blocks ⋮ Isoclinism of skew braces ⋮ Schur covers of skew braces ⋮ Galois scaffolds for cyclic \(p^n\)-extensions in characteristic \(p\)

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