Abstract
It is well known that it is possible to construct (q 2−q 2 (miquelian) inversive planes of order q on the same set of points which pairwise intersect in precisely the circles through infinity. Here we give an explicit description of such a family by “projecting” certain Buekenhout-Metz unitals in a well-defined manner. If q⩾8 is an odd power of 2, it is shown that an additional q 2− q (Suzuki-Tits) inverse planes may be added to the family without disturbing the above intersection property. The maximality of the resulting families is then discussed.
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