On alternating subgroup A₅ in autotopism group of finite semifield plane

Abstract

We discuss well-known hypothesшs that the full collineation group of any finite non-Desarguesian semifield plane is solvable. We continue to investigate the semifield planes of odd order which admit an autotopism subgroup isomorphic to alternating group A₅. It is proved that a semifield plane of any odd order does not admit  A₅ in autotopism group.