Transitive Partial Hyperbolic Flocks of Deficiency One

Abstract

artial hyperbolic flocks of deficiency one in are equivalent totranslation planes with spreads in admitting Baer groups of order . In this article, we completely classify the associated derivabletranslation planes of order , for a prime, inducing a collineationgroup transitive on the partial flock. There are exactly two possiblenon-linear flocks and planes, those whose planes are the semifield of order with kernel and the plane of order , due to Johnson and Pomareda.