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Nonexistence of certain planes of order 10 and 12

โœ Scribed by Leonard Baumert; Marshall Hall Jr.

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
373 KB
Volume
14
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES

The nonexistence of projective planes of
The nonexistence of projective planes of order 12 with a collineation group of order 8
โœ Kenzi Akiyama; Chihiro Suetake ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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

The nonexistence of ovals in a projectiv
The nonexistence of ovals in a projective plane of order 10
โœ C.W.H. Lam; L. Thiel; S. Swiercz; J. McKay ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 325 KB

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.