Construction of a point-cyclic resolution in \(\mathrm{PG}(9,2)\)
type: Item
instance of: scholarly article
title: Construction of a point-cyclic resolution in \(\mathrm{PG}(9,2)\)
zbMATH Open document ID: 1108.51011
author: Michael Braun
published in: Innovations in Incidence Geometry
publication date: 2006-11-29T00:00:00Z
review text: A resolution of a \(t-(v,k,\lambda)\)-design is a partition of the set of lines such that each part is itself a partition of the point-set. If a resolution has a cyclic automorphism of full length, then the resolution is said to be point-cyclic. In the paper under review, the author describes an algorithm to construct point-cyclic resolutions of projective geometries over finite fields and uses it to construct the first point-cyclic resolution of \(\text{PG}(9,2)\).
reviewed by: Bart De Bruyn
Mathematics Subject Classification ID: 51E20
zbMATH DE Number: 5076687
zbMATH Keywords: resolution
zbMATH Keywords: point-cyclic
zbMATH Keywords: group of automorphisms
zbMATH Keywords: lattice point enumeration
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5076687