On semifield planes of order \(16^ 2\)
Using methods from \textit{H. Huang} and \textit{N. L. Johnson} [Discrete Math. 80, No. 1, 69-79 (1990; Zbl 0699.51003)], the authors determine all semifields planes of order \(16^2\) with \(GF(16)\) contained in the kernel such that the linear translation complement contains a subgroup of order \(2 \cdot 16^2\) (these planes admit a Baer involution which centralizes a group of order 16 of affine elations). The authors obtain 282 isomorphism classes of planes of this type. The full collineation groups of these planes are solvable.
scientific article; zbMATH DE number 1023951