The nonexistence of projective planes of order 12 with a collineation group of order 16
نویسندگان
چکیده
منابع مشابه
On projective planes of order 12 with a collineation group of order 9
In this paper, we prove that if π is a projective plane of order 12 admitting a collineation group G of order 9, then G is an elementary abelian group and is not planar.
متن کاملProjective Planes of Order 12 Do Not Have a Four Group as a Collineation Group
We have shown in [2] that the full collineation group of any projective plane of order 12 is a (2, 3) group. It is of interest to determine the structure of this (2,3} group. As a first step in that direction, we have shown in [3] that a non-Abelian group of order 6 cannot act as a collineation group on any projective plane of order 12. As a second step, we have shown in [4] that there is no pr...
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Let G be an abelian collineation group of order n2 of a projective plane of order n. We show that n must be a prime power, and that the p-rank of G is at least b+ 1 if n = pb for an odd prime p.
متن کاملThe nonexistence of code words of weight 16 in a projective plane of order 10
The weight enumerator of the binary error-correcting code generated by the rows of the incidence matrix of a projective plane of order 10 is completely determined once the numbers of code words of weight 12, 15, and 16 are known. The search for such a projective plane starting from code words of weight 16 can be divided into six cases. In his 1974 Ph.D thesis at Berkeley. Carter finished the se...
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چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2004
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2004.03.006