Finite neofields and 2-transitive groups

Let N be a finite neofield distinct from the Galois field and let G be a group generated by right translations x→x+a of an additive loop of N. We prove that, except for four particular cases, G=S_N or G=A_N holds. Translated fromAlgebra i Logika, Vol. 36, No. 2, pp. 166–193, March–April, 1997.