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Some design‐theoretic properties of buekenhout unitals
Author(s) -
Dover Jeremy
Publication year - 1996
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/(sici)1520-6610(1996)4:6<449::aid-jcd5>3.0.co;2-f
Subject(s) - unital , disjoint sets , mathematics , plane (geometry) , cone (formal languages) , pure mathematics , combinatorics , discrete mathematics , algebra over a field , geometry , algorithm
The purpose of this article is to discuss some questions about parabolic Buekenhout unitals, considered as designs. In this article, we define a parabolic Buekenhout unital to be a unital in any two‐dimensional translation plane obtained from the cone over any ovoid. In particular, we discuss resolutions of these designs, inversive plane residuals obtainable from these designs, and also some issues about disjoint Steiner systems. © 1996 John Wiley & Sons, Inc.