Mixed partitions of PG\((5,q)\)
type: Item
instance of: scholarly article
title: Mixed partitions of PG\((5,q)\)
zbMATH Open document ID: 0939.51004
DOI: 10.1016/S0012-365X(99)00058-8
published in: Discrete Mathematics
publication date: 2000-07-02T00:00:00Z
review text: This paper considers the problem of partitioning finite projective space into objects of given different types. Corollary 5. The projective space \(PG(5,q)\) can be partitioned into two planes and \(q^3-1\) quadric Veronesians. Moreover, if \(q\) is a square, then \(PG(5,q)\) can be partitioned into caps of size \(q-\sqrt q+1\). Under the lifting Singer cycle quadric Veronesians can be glued together to form larger caps of \(PG(5,q)\). For example, it is constructed a complete cap of size 155 in \(PG(5,5)\), a complete cap of size 285 in \(PG(5,7)\), complete caps of size 365 and 438 in \(PG(5,8)\) and a complete cap of size 126 in \(PG(5,4)\).
Mathematics Subject Classification ID: 51E12
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 1369767
zbMATH Keywords: projective space
zbMATH Keywords: caps
zbMATH Keywords: Singer-cycle
zbMATH Keywords: quadric Veronesian
author: R. D. Baker
author: A. Bonisoli
author: Antonio Cossidente
author: Gary L. Ebert
reviewed by: Alexandre A. Makhnev
MaRDI profile type: Publication
full work available at URL: s0012-365x(99)00058-8
OpenAlex ID: W1994923953
description: scientific article; zbMATH DE number 1369767