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The Return of the Baer Subplane

✍ Scribed by A.A. Bruen; Keldon Drudge

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
81 KB
Volume
85
Category
Article
ISSN
0097-3165

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✦ Synopsis

We discuss the notion of a tangency set in a projective plane, generalising the well-studied idea of a minimal blocking set. Tangency sets have recently been used in connection with the coding theory related to algebraic curves over finite fields, and they are closely related to the strong representative systems introduced by T. Ille s, T. Szonyi, and F. Wettl (1991, Mitt. Math. Sem. Giessen 201, 97 107). Here we give bounds on the possible sizes of tangency sets, and structural results are obtained in the extremal cases.

πŸ“œ SIMILAR VOLUMES

Almost-Baer subplanes of free projective
Almost-Baer subplanes of free projective planes
✍ Don Row πŸ“‚ Article πŸ“… 1978 πŸ› Springer 🌐 English βš– 98 KB

We examine Baer subplanes, and subplanes which are almost-Baer subplanes, of any free plane--showing the subplanes are pairwise isomorphic--thus giving further examples of planes investigated by Barlotti.