Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
38(1), 111 - 124 (1997)

Regular Linear Spaces

Dieter Betten, Anton Betten

Fakultät für Mathematik und Physik, Universitätsstr. 30, D-95445 Bayreuth, e-mail:

Mathematisches Seminar der Universität, Ludewig-Meyn-Str. 4, D-24098 Kiel, e-mail:

Abstract: We call a finite linear space regular, if all pencils of lines are similar. This means that the way how the lines through a point partition the complement of this point is equivalent for all points. We enumerate all finite regular linear spaces of order $\leq 14$ and, with some gaps, up to order 16. We comment on some of these spaces, point out interrelations between them and give presentations for several distinguished species.

Classification (MSC91): 51E26, 51E05, 05B05, 05B30

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