Page 1

Displaying 1 – 1 of 1

Showing per page

Division algebras that generalize Dickson semifields

Daniel Thompson (2020)

Communications in Mathematics

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 2 s 2 by doubling central division algebras of degree s . Results on isomorphisms and automorphisms of these algebras are obtained in certain cases.

Currently displaying 1 – 1 of 1

Page 1