Abstract
Finite generalized Hall planes possessing elations which are not translations for more than one centre on the translation line are investigated. The existence of such elations is related to the structure of certain coordinate systems and the precise set of points that are centres of such elations is determined. A method of constructing planes possessing such elations is elaborated and then applied to construct planes of order 24n for each n≥1.
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© 1975 Springer-Verlag
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Rahilly, A. (1975). Some translation planes with elations which are not translations. In: Street, A.P., Wallis, W.D. (eds) Combinatorial Mathematics III. Lecture Notes in Mathematics, vol 452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069558
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DOI: https://doi.org/10.1007/BFb0069558
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