On The Embedding of Complements of Some Hyperbolic Planes $III$

Abstract

In this study, we showed that an $(n+1)$-regular linear space, which is the complement of a linear space having points not on $m+1$ lines such that no three are concurrent in a projective subplane of odd order $m$, $m\ge 9$, could be embedded into a projective plane of order $n$ as the complement of Ostrom’s hyperbolic plane.