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Affine Ebenen und Tupelsysteme

✍ Scribed by A. Neumaier

Publisher
Springer
Year
1979
Tongue
English
Weight
738 KB
Volume
8
Category
Article
ISSN
0046-5755

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✦ Synopsis

We give two new coordinatization methods for affine planes by means of homogeneous (resp. strong balanced) tuple systems. Their usefulness is demonstrated by proving a characterization of collineation groups of an affine plane with the property (R): The stabilizer of every i E 1® contains only perspectivities with centre i. Besides, we prove: If a projective plane of order v contains an elation of even order d then 2d[v. This implies known results of Hughes (d = 2) and Hall.

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