Extended Partial Geometries: Dual 2-Designs

The study of EpGs (extended partial geometries) is continued from [5]; here we consider extended dual 2-designs (EDDs), especially one-point and triangular structures. We concentrate on three interesting cases: semibiplanes, which are extensions of the duals of trivial 2-designs (Section 4); extensi...

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Bibliographic Details
Published inEuropean journal of combinatorics Vol. 11; no. 5; pp. 459 - 471
Main Author Hughes, D.R.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.1990
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Summary:The study of EpGs (extended partial geometries) is continued from [5]; here we consider extended dual 2-designs (EDDs), especially one-point and triangular structures. We concentrate on three interesting cases: semibiplanes, which are extensions of the duals of trivial 2-designs (Section 4); extensions of dual projective geometries (Section 7); extensions of dual affine geometries (Section 8). We find non-existence theorems, examples, uniqueness theorems, and many open questions.
ISSN:0195-6698
1095-9971
DOI:10.1016/S0195-6698(13)80028-5