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<p class="noindent">Two methods, one algebraic and one geometric, are given to determine the autotopism group of the commutative Dickson semifield, completing a result of Sandler. The collineation stabilizer subgroup of the embedded Ganley unital is exhibited as a semidirect product whose factor groups are semidirect products of abelian groups. </p>

On the autotopism group of the commutative Dickson semifield K and the stabilizer of the Ganley unital embedded in the semifield plane Π(K)