Abstract
In [2] the group of projectivities of the Moulton planes was derived. The determination of the groups of projectivities of other 2-dimensional topological projective planes seems to be very difficult. However, for a certain class of 4-dimensional translation planes the groups of projectivities are described in the article.
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Literaturverzeichnis
Betten, D., 4-dimensionale Translationsebenen, Math. Z. 128, 129–151 (1972
Betten, D., Die Projektivitätengruppe der Moulton-Ebenen, J. of Geometry 13, 197–209 (1979)
Betten, D. und Wagner, A., Eine stückweise projektive topologische Gruppe im Zusammenhang mit den Moulton-Ebenen, Erscheint in Arch. d. Math. 38, 280–285 (1982)
Grundhöfer, T., Projektivitätengruppen von endlichen und lokal endlichen ebenen Geometrien, Dissertation Kaiserslautern 1981
Pickert, G., Projektive Ebenen, Springer Berlin 1955, 1975
Plaumann, P. und Strambach, K., Geometry — von Staudt's Point of View, NATO Advanced Study Institute, Bad Windsheim 1980, Reidel 1981
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Betten, D. Die Projektivitätengruppe einer Klasse 4-dimensionaler Translationsebenen. J Geom 21, 19–32 (1983). https://doi.org/10.1007/BF01918127
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DOI: https://doi.org/10.1007/BF01918127