Cayley's theorem and Hopf Galois structures for semidirect products of cyclic groups.

DOI10.1016/J.JALGEBRA.2006.09.016zbMath1119.16037OpenAlexW2030096904MaRDI QIDQ868866

Jesse Corradino, Lindsay N. Childs

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.09.016

zbMATH Keywords

inner automorphismssemidirect productsHopf Galois extensionsholomorphsfixed-point free endomorphisms

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Subgroups of symmetric groups (20B35)

Related Items (8)

Abelian maps, brace blocks, and solutions to the Yang-Baxter equation ⋮ Groups of order \(4p\), twisted wreath products and Hopf-Galois theory. ⋮ Skew braces and the Galois correspondence for Hopf Galois structures ⋮ Fixed point free automorphisms of groups related to finite fields ⋮ Isomorphism problems for Hopf-Galois structures on separable field extensions ⋮ Non-isomorphic Hopf Galois structures with isomorphic underlying Hopf algebras. ⋮ On the Galois correspondence for Hopf Galois structures arising from finite radical algebras and Zappa-Szép products ⋮ Fixed-point free endomorphisms and Hopf Galois structures

Cites Work

• Unnamed Item
• Counting Hopf Galois structures on non-abelian Galois field extensions
• On Hopf Galois structures and complete groups
• Hopf Galois theory for separable field extensions
• Uniqueness of hopf galois structure for separable field extensions

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