On Projective Planes of Order 15 Admitting a Collineation of Order 7
โ Scribed by Chihiro Suetake
- Book ID
- 110222180
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 156 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0046-5755
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## 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
Towards the study of finite projective plane of prime order, the following result is proved in this paper. Let 7r be a projective plane of prime order p and let G be a collineation group of n. If P[I G I, then either n is Desarguesian or the maximal normal subgroup of G is not trivial. In particular