Towards the classification of rank 2 semifields 6-dimensional over their center

摘要

Semifields 6-dimensional over the center mathbb F_q{mathbb F_q}, having at least one nucleus of order q 3 and at least one of the remaining nuclei of order q 2, are partitioned into non-empty mutually non-isotopic classes. Also, for each class a canonical form for the multiplication is presented.