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On Hopf Galois structures and complete groups

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Publication:1408574
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zbMath1038.12003MaRDI QIDQ1408574

Lindsay N. Childs

Publication date: 24 September 2003

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/123547


zbMATH Keywords

Hopf algebrassemidirect productsHopf Galois structureholomorphs


Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10)


Related Items

Induced Hopf Galois structures ⋮ Cayley's theorem and Hopf Galois structures for semidirect products of cyclic groups. ⋮ Counting Hopf-Galois structures on cyclic field extensions of squarefree degree ⋮ Hopf-Galois structures of squarefree degree ⋮ Hopf-Galois structures on Galois field extensions of degree \(pq\). ⋮ Hopf-Galois structures on non-normal extensions of degree related to Sophie Germain primes ⋮ Hopf-Galois structures on almost cyclic field extensions of 2-power degree ⋮ Fixed-point free endomorphisms and Hopf Galois structures ⋮ Elementary Abelian Hopf Galois structures and polynomial formal groups. ⋮ Abelian Hopf Galois structures on prime-power Galois field extensions



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