ABSTRACT

Definition 79. A partition of the conics not containing N or S by i-point elliptic ‡ocks shall be called a ‘NS i-point elliptic parallelism,’ for i = 2; 1; 0.

Definition 80. A partition of the conics by i-point elliptic ‡ocks shall be a called a `i-point elliptic parallelism.’

Remark 38. In our constructions of in…nite regular parallelisms in PG(3; K), we show that there are 2-point elliptic parallelisms for essentially any in…nite …eld K.