Extension of collineations defined on certain sets of a desarguesian projective plane
✍ Scribed by B. Orbán
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 284 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
Suppose that q 2 2 is a prime power. We show that a linear space with a( q + 1)' + ( q + 1) points, where a 1 0.763, can be embedded in at most one way in a desarguesian projective plane of order q. 0 1995 John Wiley & Sons, he. ## 1. Introduction A linear space consists of points and lines such t
A geometric construction of a symmetric primitive association scheme of rank 6 on the antiflags of a finite projective plane is given. This scheme allows one to reconstruct the initial plane up to isomorphism and polarity. It is shown that for a Desarguesian plane the corresponding scheme is non-Sch