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https://hdl.handle.net/2440/3609
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Type: | Journal article |
Title: | Unitals and Inversive Planes |
Author: | Barwick, S. O'Keefe, C. |
Citation: | Journal of Geometry, 1997; 58(1-2):43-52 |
Publisher: | Springer Science and Business Media LLC |
Issue Date: | 1997 |
ISSN: | 0047-2468 1420-8997 |
Abstract: | We show that if U is a Buekenhout-Metz unital (with respect to a point P) in any translation plane of order q2 with kernel containing GF(q), then U has an associated 2-(q2, q + 1, q) design which is the point-residual of an inversive plane, generalizing results of Wilbrink, Baker and Ebert. Further, our proof gives a natural, geometric isomorphism between the resulting inversive plane and the (egglike) inversive plane arising from the ovoid involved in the construction of the Buekenhout-Metz unital. We apply our results to investigate some parallel classes and partitions of the set of blocks of any Buekenhout-Metz unital. © Birkhäuser Verlag, Basel, 1997. |
DOI: | 10.1007/BF01222925 |
Published version: | http://dx.doi.org/10.1007/bf01222925 |
Appears in Collections: | Aurora harvest 6 Pure Mathematics publications |
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