Abstract
Albert's construction for commutative semifields of order 2 n , n odd, is presented. It avoids the construction of a presemifield and, in the case that n is prime, allows us to determine automorphism groups and the isomorphism classes. If n is a prime greater than three, the semifields are strictly not associative. These semifields are new for all n greater than three, differing from the binary semifields in that each admits only the trivial automorphism.
The authors present an explicit construction of an isotope of the 25-element semifield that contains a subsemifield of order 22.
2000 Mathematics Subject Classification:
Notes
Communicated by A. Elduque.