Construction of divisible designs from translation planes
type: Item
instance of: scholarly article
title: Construction of divisible designs from translation planes
zbMATH Open document ID: 0911.51003
author: Ralph-Hardo Schulz
author: Antonino Giorgio Spera
published in: European Journal of Combinatorics
publication date: 1998-10-27T00:00:00Z
review text: The authors continue the investigation of divisible designs constructed from finite translation planes. In earlier work such structures were considered using the desarguesian planes and the Lüneburg planes, being the only finite translation planes which have a doubly transitive collineation group on the line at infinity. In this paper, they use other finite translation planes (Hering planes, Ott-Schäffer planes, Kantor planes of type II, Dye-Kantor planes, Bartolone-Ostrom planes); the divisible designs obtained have \(\text{SL}(2,q)\) as automorphism group.
Mathematics Subject Classification ID: 51E05
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 1199928
zbMATH Keywords: divisible designs
zbMATH Keywords: translation planes
MaRDI profile type: Publication
full work available at URL: eujc.1997.0198
OpenAlex ID: W2026787698
DOI: 10.1006/EUJC.1997.0198
description: scientific article; zbMATH DE number 1199928