Abstract
The first examples of groups of projectivities in non-des- arguesian planes were computed by A. Barlotti [1959], He showed that the group of projectivities of the three known non-desar- guesian planes of order 9 is in fact the symmetric group of degree 10 and that the group of projectivities of the Hall plane of order 16 contains the alternating group of degree 17. Later on he showed that this group is actually A17. In the sequel A. Herzer, J. Joussen, and A. Longwitz determined the group of projectivities for several infinite classes of projective planes (see the bibliography for bibliographical details) showing that it always contains the alternating group of degree q + 1, where q is the order of the plane under consideration. Almost all their results are included in the results by Th. Grundhöfer which will be presented here for the first time. I would like to thank Th. Grundhöfer very much indeed for allowing me to incorporate his material into this note.
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© 1981 D. Reidel Publishing Company
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Lüneburg, H. (1981). Some New Results on Groups of Projectivities. In: Plaumann, P., Strambach, K. (eds) Geometry — von Staudt’s Point of View. NATO Advanced Study Institutes Series, vol 70. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8489-9_9
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