Non-existence of a certain projective plane
نویسندگان
چکیده
منابع مشابه
A non-desarguesian projective plane
Hrushovski’s construction of “new” strongly minimal structures and more generally “new” stable structures proved very effective in providing a number of examples to classification problems in stability theory. For example, J.Baldwin used this method to construct a non-desarguesian projective plane of Morley rank 2 (see e.g. [3]). But there is still a classification problem of similar type which...
متن کاملA non-desarguesian projective plane
Hrushovski’s construction of “new” strongly minimal structures and more generally “new” stable structures proved very effective in providing a number of examples to classification problems in stability theory. For example, J.Baldwin used this method to construct a non-desarguesian projective plane of Morley rank 2 (see e.g. [3]). But there is still a classification problem of similar type which...
متن کاملOn the Existence of a Projective Plane of Order 10
If a projective plane of order 10 exists, let M denote the (111,56) binary error-correcting code generated by the rows of the incidence matrix. It is known that the weight distribution of this code is uniquely determined by the number of codewords of weights 12, 15 and 16. It is the object of this paper to report that the number of codewords of weight 15 is zero, thus reducing the number of unk...
متن کاملThe Non - existence of Finite Projective
This note reports the result of a computer search which shows that no 19-point connguration can be extended to a complete nite projective plane of order 10. Previous work has shown that such a plane, if it exists, must contain 24,675 19-point conngurations. Together, these results imply the non-existence of a projective plane of order 10. This note presents a brief summary of the previous work ...
متن کاملNon-Existence of isomorphisms between certain unitals
We show that the Ree-Tits unitals are neither classical nor isomorphic to the polar unitals found in the Coulter-Matthews planes. To this end, we determine the full automorphism groups of the (finite) Ree unitals.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1969
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700007096