On the autotopism group of the Cordero-Figueroa semifield of order 3⁶
In [5] M. Biliotti, V. Jha and N. Johnson were able to completely determine the autotopism group of a generalized twisted field as a subgroup of ΓL(K) × ΓL(K), where K = GF(pⁿ) and ΓL(K) is the group of nonsingular semilinear transformations over K. In this article, we consider the Cordero-Figueroa semifield of order 3⁶, which is not a generalized twisted field, and we prove that its autotopism group is isomorphic to a subgroup of ΓL(K) × ΓL(K), where K = GF(3⁶).