𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Orthogonal polarities of finite projective planes of odd order

✍ Scribed by Manfred Seib


Publisher
Springer
Year
1973
Tongue
English
Weight
108 KB
Volume
1
Category
Article
ISSN
0046-5755

No coin nor oath required. For personal study only.

✦ Synopsis


ORTHOGONAL POLARITIES OF FINITE PROJECTIVE PLANES OF ODD ORDER

ORTHOGONAL POLARITIES (I0) A is transitive on the points of P.

From ( ) and ( ) it now follows that P is desarguesian [3].


πŸ“œ SIMILAR VOLUMES


Colouring finite planes of odd order
✍ J Csima πŸ“‚ Article πŸ“… 1984 πŸ› Elsevier Science 🌐 English βš– 40 KB

It is shown that in every n-coiouring ((n -1)-colouring) of a projective plane (affme plane) of odd order n at least one line has three points of the same colour. Using clever counting arguments, Kabell proves that "In any n-coloring of PG(2, n), at least one line contains points of at most n-1 co

I-Transitive Ovals in Projective Planes
✍ Maria Rosaria Enea; GΓ‘bor KorchmΓ‘ros πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 202 KB

Let be a projective plane of odd order n containing an oval ⍀. We give a classification of collineation groups of which fix ⍀ and act transitively on the set I I of all internal points of ⍀.

A computer search for finite projective
✍ C.W.H. Lam; G. Kolesova; L. Thiel πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 648 KB

Lam, C.W.H., G. Kolesova and L. Thiel, A computer search for iinite projective planes of order 9, Discrete Mathematics 92 (1991) 187-195. There are four known finite projective planes of order 9. This paper reports the result of a computer search which shows that this list is complete. The computer