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

Pumpluen, Susanne

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.

Citation

Pumpluen, S. (in press). A classification of the division algebras that are isotopic to a cyclic Galois field extension. Israel Journal of Mathematics,

• Journal Article Type: Article
• Acceptance Date: Mar 25, 2025
• Deposit Date: Mar 25, 2025
• Journal: Israel Journal of Mathematics
• Print ISSN: 0021-2172
• Electronic ISSN: 1565-8511
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Public URL: https://nottingham-repository.worktribe.com/output/46999156
• Publisher URL: https://link.springer.com/journal/11856