On the classification of projective planes of order 15 with a Frobenius group of order 30 as a collineation group
โ Scribed by Eshref Ademaj
- Book ID
- 112496142
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 458 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0003-889X
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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
We investigate the structure of a collineation group G leaving invafiant a unital q/in a finite projective plane II of even order n = m 2. When G is transitive onthe points of ~//and the socle of G has even order, then II must be a Desarguesian plane, ~ a classical unital and PSU(3,m 2) ~< G ~< PFU(