Partial k-Parallelisms in Finite Projective Spaces
نویسندگان
چکیده
منابع مشابه
Partial k-Parallelisms in Finite Projective Spaces
In this paper, we consider the following question. What is the maximum number of pairwise disjoint k-spreads that exist in PG(n, q)? We prove that if k + 1 divides n + 1 and n > k then there exist at least two disjoint k-spreads in PG(n, q) and there exist at least 2k+1 − 1 pairwise disjoint k-spreads in PG(n, 2). We also extend the known results on parallelism in a projective geometry from whi...
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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...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Designs
سال: 2014
ISSN: 1063-8539
DOI: 10.1002/jcd.21392