Collineations of projective planes of order 10, part I
β Scribed by S.H. Whitesides
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 973 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let be a projective plane of odd order n containing an oval β. We give a classification of collineation groups of which fix β and act transitively on the set I I of all internal points of β.
## 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
We show how to lift the even intersection equivalence relation from the hyperovals of PG(2, 4) to an equivalence relation amongst sets of hyperconics in "PG(2, F ). Here, F is any "nite or in"nite "eld of characteristic two that contains a sub"eld of order 4, but does not contain a sub"eld of order