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arXiv · 2407.11598

A classification of the division algebras that are isotopic to a cyclic Galois field extension

Susanne Pumpluen
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Abstract

We classify all division algebras that are principal Albert isotopes of a cyclic Galois field extension of degree $n>2$ up to isomorphisms. We achieve a ``tight'' classification when the cyclic Galois field extension is cubic. The classification is ``tight'' in the sense that the list of algebras has features that make it easy to distinguish non-isomorphic ones.

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Susanne Pumpluen. 2024-07-16. A classification of the division algebras that are isotopic to a cyclic Galois field extension. https://arxiv.org/abs/2407.11598

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