All Outputs (3)

Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions (2016)
Journal Article
Truman, P. (2016). Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions. Communications in Algebra, 1119 - 1130. https://doi.org/10.1080/00927872.2014.999930

Let L/K be a finite Galois extension of local or global fields in any characteristic with nonabelian Galois group G, and let be an ambiguous ideal of L. We show that is free over its associated order in K[G] if and only if it is free over its associa... Read More about Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions.

Hopf-Galois module structure of tame Cp×Cp extensions (2016)
Journal Article
Truman, P. (2016). Hopf-Galois module structure of tame Cp×Cp extensions. https://doi.org/10.5802/jtnb.953

Let $ p $ be an odd prime number, $ K $ a number field containing a primitive $ p^{th} $ root of unity, and $ L $ a Galois extension of $ K $ with Galois group isomorphic to $ C_{p} \times C_{p} $. We study in detail the local and global structure of... Read More about Hopf-Galois module structure of tame Cp×Cp extensions.

Hopf-Galois module structure of tame biquadratic extensions (2016)
Journal Article
Truman. (2016). Hopf-Galois module structure of tame biquadratic extensions. https://doi.org/10.5802/jtnb.953

Let $ p $ be an odd prime number, $ K $ a number field containing a primitive $ p^{th} $ root of unity, and $ L $ a Galois extension of $ K $ with Galois group isomorphic to $ C_{p} \times C_{p} $. We study in detail the local and global structure of... Read More about Hopf-Galois module structure of tame biquadratic extensions.