与二维余维子空间不交的射影空间中的完全帽
组合数学
2007-05-23 v1
摘要
在阶为 2 的域上工作，我们考虑那些与射影空间的某个余维 2 子空间不交的完全帽（无三点共线的极大点集）。我们导出此类帽为完全帽所必须满足的限制条件。利用这些条件，我们得到不与每个超平面交于至少 5 个点的完全帽的显式描述。特别地，我们确定了所有维数中所有此类完全帽的基数集合。
引用
@article{arxiv.math/0403031,
title = {Complete caps in projective space which are disjoint from a subspace of codimension two},
author = {David L. Wehlau},
journal= {arXiv preprint arXiv:math/0403031},
year = {2007}
}
备注
13 pages. This is a corrected version of a paper that appeared in Finite Geometries, A. Blokhuis, J.W.P. Hirschfeld, D. Jungnickel and J.A. Thas, Editors, Kluwer Academic Publishing, Dordrecht, 2001, 347--361. The proof of Theorem 4.1 has been corrected as have the statements of Propositions 7.1 and 8.1