Regular $3$-dimensional parallelisms of $\mbox{{\rm PG}}(3,\mathbb R)$

Other literature type English OPEN
Betten, Dieter; Riesinger, Rolf;
  • Publisher: The Belgian Mathematical Society
  • Journal: issn: 1370-1444
  • Publisher copyright policies & self-archiving
  • Subject: topological parallelism | regular parallelism | dimension of a regular parallelism | Clifford parallelism | rotational parallelism | hyperflock | generalized line star | generalized line pencil | 51H10 | 51A15 | 51M30

In [8] the collineation groups of some known 5-, 4- and 3-dimensional topological regular parallelisms of $PG(3,\mathbb R)$ were determined. In the present article we concentrate on 3-dimensional regular parallelisms and prove: the 3-dimensional regular para... View more
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