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The nonexistence of projective planes of order 12 with a collineation group of order 16

โœ Scribed by Chihiro Suetake


Book ID
108167111
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
333 KB
Volume
107
Category
Article
ISSN
0097-3165

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The nonexistence of projective planes of
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