ABSTRACT

In this chapter, we construct a variety of parallelisms in PG(3; K), where K is an arbitrary …eld, …nite or in…nite. In the following, we shall let R be a regulus in PG(3; K); where K is a …eld. This class also appears in the Subplane’s Text [114]. Here we somewhat modify the construction for this text and is given here for convenience and completeness. We …rst note the following fundamental property concerning Pap-

pian spreads.