𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The nonexistence of ovals in a projective plane of order 10

✍ Scribed by C.W.H. Lam; L. Thiel; S. Swiercz; J. McKay


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
325 KB
Volume
45
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


This paper reports the result of a computer search which show s that there is no oval in a projective plane of order 10. It gives a brief description of the search method as well as a brief survey of other possible configurations in a plane of order 10.


πŸ“œ SIMILAR VOLUMES


I-Transitive Ovals in Projective Planes
✍ Maria Rosaria Enea; GΓ‘bor KorchmΓ‘ros πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 202 KB

Let be a projective plane of odd order n containing an oval ⍀. We give a classification of collineation groups of which fix ⍀ and act transitively on the set I I of all internal points of ⍀.

Embedding the complement of an oval in a
✍ R.C. Bose; S.S. Shrikhande πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 729 KB

A configuration D with parameters (u, b, r. k) is an incidence structure t P, B. 2 L where ? is a set of u "points'\*, 8 is a set of b '"blocks" and 7 is an 'incidence relation" between points and blocks such that each point is incident with t blocks, and each blok is incident with Fc points. A bloc

The nonexistence of projective planes of
✍ Kenzi Akiyama; Chihiro Suetake πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 183 KB

## Abstract In this article, we prove that there does not exist a symmetric transversal design ${\rm STD}\_2[12;6]$ which admits an automorphism group of order 4 acting semiregularly on the point set and the block set. We use an orbit theorem for symmetric transversal designs to prove our result. A