All Outputs (2)

Hopf-Galois module structure of some non-normal extensions (2024)
Thesis
Prestidge, G. T. (2024). Hopf-Galois module structure of some non-normal extensions. (Thesis). Keele University. Retrieved from https://keele-repository.worktribe.com/output/850279

We use Hopf-Galois theory to study the structure of rings of algebraic integers in some non-normal extensions of number fields which are tamely ramified, generalising results of Del Corso and Rossi for tamely ramified Kummer extensions. Firstly w... Read More about Hopf-Galois module structure of some non-normal extensions.

Hopf-Galois module structure of a class of tame quaternionic fields (2020)
Thesis
Taylor, S. J. (2020). Hopf-Galois module structure of a class of tame quaternionic fields. (Thesis). Keele University

We study the Hopf-Galois module structure of rings of integers in tame Galois extensions L=F of global fields with Galois group isomorphic to the quaternion group of order 8. We determine explicitly the Hopf algebras giving Hopf-Galois structures on... Read More about Hopf-Galois module structure of a class of tame quaternionic fields.