The minimum size of a finite subspace partition

被引：8

作者：

Nastase, Esmeralda L. ^{[2
]}

Sissokho, Papa A. ^{[1
]}

机构：

[1] Illinois State Univ, Dept Math, Normal, IL 61790 USA

[2] Xavier Univ, Dept Math, Cincinnati, OH 45207 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 435卷 / 06期

关键词：

Subspace partition; Vector space partitions; Partial t-spreads; MAXIMAL PARTIAL SPREADS; VECTOR-SPACES; CONSTRUCTION;

D O I：

10.1016/j.laa.2011.03.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subspace partition of P = PG(n, q) is a collection of subspaces of P whose pairwise intersection is empty. Let sigma(q)(n, t) denote the minimum size (i.e., minimum number of subspaces) in a subspace partition of P which the largest subspace has dimension t. In this paper, we determine the value of sigma(q)(n, t) for n <= 2t + 2. Moreover, we use the value of sigma(q)(2t + 2, t) to find the minimum size of a maximal partial t-spread in PG (3t + 2, q). (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1213 / 1221

页数：9

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