Division algebras that generalize Dickson semifields
Rings and Algebras
2019-06-05 v1
Abstract
We generalize Knuth's construction of Case I semifields quadratic over a weak nucleus, also known as generalized Dickson semifields, by doubling of central simple algebras. We thus obtain division algebras of dimension by doubling central division algebras of degree . Results on isomorphisms and automorphisms of these algebras are obtained in certain cases.
Cite
@article{arxiv.1906.01329,
title = {Division algebras that generalize Dickson semifields},
author = {Daniel Thompson},
journal= {arXiv preprint arXiv:1906.01329},
year = {2019}
}
Comments
10 pages, work is part of author's PhD thesis