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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.

New approaches to diagnosing exact recurrent flows embedded in two-dimensional turbulence (2024)
Thesis
Redfern, E. M. (2024). New approaches to diagnosing exact recurrent flows embedded in two-dimensional turbulence. (Thesis). Keele University. Retrieved from https://keele-repository.worktribe.com/output/775657

Turbulent flow is often viewed as a trajectory wandering through a high dimensional phase-space, momentarily visiting the neighbourhood of unstable invariant solutions, e.g. unstable periodic orbits, travelling waves and equilibria. Periodic orbit th... Read More about New approaches to diagnosing exact recurrent flows embedded in two-dimensional turbulence.