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arXiv · 1604.02604

A classification theorem for normal extensions

Mathieu Duckerts-Antoine·Tomas Everaert
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Abstract

For a particular class of Galois structures, we prove that the normal extensions are precisely those extensions that are "locally" split epic and trivial, and we use this to prove a "Galois theorem" for normal extensions. Furthermore, we interpret the normalisation functor as a Kan extension of the trivialisation functor.

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Mathieu Duckerts-Antoine, Tomas Everaert. 2016-04-09. A classification theorem for normal extensions. https://arxiv.org/abs/1604.02604

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