English

Automorphism Groups of some Finite Semifields

Rings and Algebras 2013-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1305.5121,
  title  = {Automorphism Groups of some Finite Semifields},
  author = {Andrew Steele},
  journal= {arXiv preprint arXiv:1305.5121},
  year   = {2013}
}

Comments

15 pages

R2 v1 2026-06-22T00:20:28.630Z