eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2020-10-11
Volume 28 (2020), Issue 2...
10.2478/cm-2020-0012
9504
journal article
Division algebras that generalize Dickson semifields
Daniel Thompson
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 2s 2 by doubling central division algebras of degree s. Results on isomorphisms and automorphisms of these algebras are obtained in certain cases.
https://cm.episciences.org/9504/pdf
General Mathematics
[MATH]Mathematics [math]