Hyperplane skew resolutions and their applications
type: Item
instance of: scholarly article
title: Hyperplane skew resolutions and their applications
zbMATH Open document ID: 0635.51007
DOI: 10.1016/0097-3165(88)90047-7
published in: Journal of Combinatorial Theory. Series A
publication date: 1988-01-01T00:00:00Z
review text: A skew resolution in \(G=AG(n,q)\) is a partition of the lines of the geometry into so-called skew resolution classes if any two distinct lines in a class are disjoint and not parallel. A hyperplane skew resolution R is defined as a skew resolution such that for each class S of R there exists a unique parallel class P of hyperplanes in G such that each line of S traverses the members of P. The authors investigate the existence and construction of hyperplane skew resolutions and their application to the line packing problem in G. They also show that the results are useful for constructing certain Kirkman squares and their application to experimental designs.
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 05B40
zbMATH DE Number: 4034520
zbMATH Keywords: hyperplane skew resolution
zbMATH Keywords: line packing
zbMATH Keywords: Kirkman squares
zbMATH Keywords: experimental designs
author: Ryoh Fuji-Hara
author: Scott A. Vanstone
MaRDI profile type: Publication
full work available at URL: 0097-3165(88)90047-7
OpenAlex ID: W2052936845
cites work: A Construction for Room's Squares and an Application in Experimental Design
cites work: On parallelisms in finite projective spaces
cites work: Q5182254
cites work: Q3905302
cites work: Transversal designs and doubly-resolvable designs
cites work: Q3904616
cites work: Affine Geometries Obtained from Projective Planes and Skew Resolutions on AG(3,q)
cites work: Recursive constructions for skew resolutions in affine geometries
cites work: Q3797185
cites work: An Existence Theorem for Room Squares*
cites work: The existence of Room squares
cites work: Room Squares Generalized
cites work: Teoria di Galois, fibrazioni proiettive e geometrie non desarguesiane
description: scientific article; zbMATH DE number 4034520