Outputs (2)

Commutative Hopf-Galois module structure of tame extensions (2018)
Journal Article
Truman. (2018). Commutative Hopf-Galois module structure of tame extensions. Journal of Algebra, 389-408. https://doi.org/10.1016/j.jalgebra.2018.01.047

We prove three theorems concerning the Hopf-Galois module structure of fractional ideals in a finite tamely ramified extension of p-adic fields or number fields which is H-Galois for a commutative Hopf algebra H. Firstly, we show that if L/K is a tam... Read More about Commutative Hopf-Galois module structure of tame extensions.

Commuting Hopf-Galois structures on a separable extension (2018)
Journal Article
Truman. (2018). Commuting Hopf-Galois structures on a separable extension. Communications in Algebra, 1420-1427. https://doi.org/10.1080/00927872.2017.1346107

Let L/K be a finite separable extension of local or global fields in any characteristic, let H-1, H-2 be two Hopf algebras giving Hopf-Galois structures on the extension, and suppose that the actions of H-1, H-2 on L commute. We show that a fractiona... Read More about Commuting Hopf-Galois structures on a separable extension.