منابع مشابه
On multiple caps in finite projective spaces
In this paper, we consider new results on (k, n)-caps with n > 2. We provide a lower bound on the size of such caps. Furthermore, we generalize two product constructions for (k, 2)-caps to caps with larger n. We give explicit constructions for good caps with small n. In particular, we determine the largest size of a (k, 3)-cap in PG(3, 5), which turns out to be 44. The results on caps in PG(3, ...
متن کاملOn Collineation Groups of Finite Projective Spaces
Let V be a vector space of finite dimension n over a finite field GF(q). Let Lk(V ) denote the set of k-dimensional subspaces of V. Several authors have studied groups acting on Lk(V ) for various k. Wagner [9] considered groups which act doubly transitively on LI(V ). Recently Kantor [6] has shown that most groups which act transitively on L2(V) also act doubly transitively on LI(V ). This pap...
متن کاملArcs in Finite Projective Spaces
These notes are an outline of a course on arcs given at the Finite Geometry Summer School, University of Sussex, June 26-30, 2017. Basic objects and definitions Let K denote an arbitrary field. Let Fq denote the finite field with q elements, where q is the power of a prime p. Let Vk(K) denote the k-dimensional vector space over K. Let PGk−1(K) denote the (k − 1)-dimensional projective space ove...
متن کاملTopology on locally finite metric spaces
The necessity of a theory of General Topology and, most of all, of Algebraic Topology on locally finite metric spaces comes from many areas of research in both Applied and Pure Mathematics: Molecular Biology, Mathematical Chemistry, Computer Science, Topological Graph Theory and Metric Geometry. In this paper we propose the basic notions of such a theory and some applications: we replace the cl...
متن کاملEmbedding the Linear Structure of Planar Spaces into Projective Spaces
We show that every non-degenerate planar space with v points and π planes can be embedded as a linear space into PG(3, q) for some prime power q provided that 1000(π − v) ≤ v5/6.
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 Combinatorial Theory, Series A
سال: 1988
ISSN: 0097-3165
DOI: 10.1016/0097-3165(88)90011-8