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Bibliographic Details
Main Author: Pumpluen, Susanne
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2407.11598
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Table of Contents:
  • 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.