Automorphism Groups of some Finite Semifields
We determine the automorphism group for some well known constructions
of finite semifields. In particular, we compute the automorphism group of
Sandler's semifields and in certain cases the automorphism groups of the
Hughes-Kleinfeld and Knuth semifields. We also determine how many nonisomorphic
Sandler semifields can be constructed given a finite field $F$ and a finite
extension L/F.
A. Steele < pmxas4@nottingham.ac.uk >