Even order inversive planes, generalized quadrangles and codes (Q1086838)

From authors' introduction: ''Up to isomorphism, only two series of even order inversive planes, herein called classical inversive planes, are known [see \textit{P. Dembowski}, Finite geometries (1968; Zbl 0159.500)]. Namely, the miquelian inversive plane M(s) corresponding to an elliptic quadric and the Suzuki inverse plane Sz(s) corresponding to Tits ovoid. The full automorphism group of a classical inversive plane of order s is transitive on its pointset. The main result in this paper is the following converse: Theorem. If I is a finite inverse plane of even order such that the full automorphism group Aut(I) of I is transitive on the pointset of I then I is a classical inverse plane''.