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Projective planes of order 15 and other odd composite orders

✍ Scribed by Chat Yin Ho

Publisher
Springer
Year
1988
Tongue
English
Weight
787 KB
Volume
27
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES

Orthogonal polarities of finite projecti
Orthogonal polarities of finite projective planes of odd order
✍ Manfred Seib πŸ“‚ Article πŸ“… 1973 πŸ› Springer 🌐 English βš– 108 KB

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].

I-Transitive Ovals in Projective Planes
I-Transitive Ovals in Projective Planes of Odd Order
✍ 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 ⍀.

On the Non-existence of Thas Maximal Arc
On the Non-existence of Thas Maximal Arcs in Odd Order Projective Planes
✍ A. Blokhuis; N. Hamilton; H. Wilbrink πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 91 KB

In this paper it is shown that given a non-degenerate elliptic quadric in the projective space PG(2n -1, q), q odd, then there does not exist a spread of PG(2n -1, q) such that each element of the spread meets the quadric in a maximal totally singular subspace. An immediate consequence is that the c

A connection between Fano configurations
A connection between Fano configurations and Minkowski planes of odd order
✍ Jan JakΓ³bowski πŸ“‚ Article πŸ“… 1989 πŸ› Springer 🌐 English βš– 238 KB

It is shown in this paper that a pair of points contained in a Fano configuration in a projective plane of odd order cannot induce a Minkowski plane. From this result we derive that no pair of points in the Hughes plane of order 9 can induce a Minkowski plane.