Resolvable \(t\)-designs
type: Item
instance of: scholarly article
title: Resolvable \(t\)-designs
zbMATH Open document ID: 1049.05010
author: Reinhard Laue
published in: Designs, Codes and Cryptography
publication date: 2004-08-16T00:00:00Z
review text: Resolvable \(t\)-\((v=p^f+1,k,\lambda)\) designs are constructed where \(k\) is a divisor of \(v\) and \(p\) is a prime. The constructed designs admit the (large) automorphism groups PGL\((2,p^f)\) or PSL\((2,p^f)\), which we denote by \(G\). The main idea is to consider subgroups \(G > H > U\) so that \(U\) is the stabilizer of a block and the orbit of that block under \(H\) forms a partition of the point set (that is, a parallel class). In this manner, utilizing various group-theoretical results, many new infinite families of resolvable \(3\)-\((v,k,\lambda)\) designs are obtained that are block transitive under PGL\((2,p^f)\) or PSL\((2,p^f)\).
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05E15
Mathematics Subject Classification ID: 05E20
zbMATH DE Number: 2091523
zbMATH Keywords: group action
zbMATH Keywords: resolvable design
zbMATH Keywords: \(t\)-design
reviewed by: Patric R. J. Östergård
MaRDI profile type: Publication
DOI: 10.1023/B:DESI.0000029230.50742.8F
description: scientific article; zbMATH DE number 2091523