On semifield planes of order 162
Copyright policy )On semifield planes of order 162
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.
Translation planes and spreads in linear incidence geometry, translation plane, Finite affine and projective planes (geometric aspects), semifields planes, collineation groups, Semifields
Translation planes and spreads in linear incidence geometry, translation plane, Finite affine and projective planes (geometric aspects), semifields planes, collineation groups, Semifields
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