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Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions

Truman, Paul

Canonical Nonclassical Hopf–Galois Module Structure of Nonabelian Galois Extensions Thumbnail


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Abstract

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 associated order in the Hopf algebra giving the canonical nonclassical Hopf-Galois structure on the extension.

Acceptance Date Aug 11, 2014
Publication Date Jan 29, 2016
Publicly Available Date Mar 28, 2024
Journal Communications in Algebra
Print ISSN 0092-7872
Publisher Taylor and Francis
Pages 1119 - 1130
DOI https://doi.org/10.1080/00927872.2014.999930
Keywords Associated Order; Galois module structure;Hopf-Galois module theory; Nonabelian extension
Publisher URL http://www.tandfonline.com/doi/abs/10.1080/00927872.2014.999930

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