Abstract
It is the object of this chapter to collect the known facts on finite inversive planes, which were defined in Section 2.4 as designs of type (1, 3) satisfying (2.4.19). We shall give a more geometric definition here, which is meaningful also in the infinite case. In fact, Section 6.1 (which may be compared with Section 3.1 on projective and affine planes) is concerned with inversive planes in general; finiteness will usually not be essential there.
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© 1997 Springer-Verlag Berlin Heidelberg
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Dembowski, P. (1997). Inversive planes. In: Finite Geometries. Classics in Mathematics, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-62012-6_6
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DOI: https://doi.org/10.1007/978-3-642-62012-6_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-61786-0
Online ISBN: 978-3-642-62012-6
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