有限射影空间中的部分k-代数
Partial k-Parallelisms in Finite Projective Spaces
摘要：
在本文中，我们考虑以下问题。PG（n，q）中存在的成对不相交$k$ -扩散的最大数量是多少？证明了若k+1整除n+1且n>k，则PG（n，q）中至少存在两个不相交的k-散布，PG（n，2）中至少存在$2^{k+1}-1$两两不相交的$k$ -散布.我们还推广了已知的结果平行的射影几何，从一个给定的子空间的点被删除。
英文摘要：
In this paper we consider the following question. What is the maximum number of pairwise disjoint $k$-spreads which 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 $2^{k+1}-1$ pairwise disjoint $k$-spreads in PG(n,2). We also extend the known results on parallelism in a projective geometry from which the points of a given subspace were removed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
