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arXiv · 1406.6894

Canonical Nonclassical Hopf-Galois Module Structure of Nonabelian Galois Extensions

Paul J Truman
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Abstract

Let $L/K$ be a finite Galois extension of local or global fields in characteristic $0$ or $p$ with nonabelian Galois group $G$, and let ${\mathfrak B}$ be a $G$-stable fractional ideal of $L$. We show that ${\mathfrak B}$ is free over its associated order in $K[G]$ if and only if it is free over its associated order in the Hopf algebra giving the canonical nonclassical Hopf-Galois structure on the extension.

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Paul J Truman. 2014-06-26. Canonical Nonclassical Hopf-Galois Module Structure of Nonabelian Galois Extensions. https://arxiv.org/abs/1406.6894

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