Replaceable Nets, Net Collineations, and Net Extensions
- 1 January 1966
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 18, 666-672
- https://doi.org/10.4153/cjm-1966-067-7
Abstract
A net of degree k and order n is a set of n2 points and nk designated sets of points, called lines, such that (1) The lines fall into k disjoint parallel classes, i.e. each line occurs in exactly one parallel class. (2) Lines in the same parallel class have no points in common; lines in different parallel classes have exactly one point in common. (3) Each point lies on exactly one line of each parallel class.Keywords
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