Divisible designs admitting GL\((3, q)\) as an automorphism group
type: Item
instance of: scholarly article
title: Divisible designs admitting GL\((3, q)\) as an automorphism group
zbMATH Open document ID: 0964.05016
DOI: 10.1023/A:1005231923430
author: Cinzia Cerroni
author: Ralph-Hardo Schulz
published in: Geometriae Dedicata
publication date: 2001-03-06T00:00:00Z
review text: A. G. Spera introduced a method to construct group divisible designs from imprimitive permutation groups which are 2-\(R\)-homogeneous (2-\(R\)-transitive), where \(R\) is an equivalence relation. In a previous paper, the authors describe a method to construct 2-\(R\)-transitive \(R\)-permutation groups from a three-dimensional projective space. In this paper, they use that method to construct group divisible designs admitting \(\text{GL}(3,q)\) as an automorphism group.
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 20B25
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 94B60
zbMATH DE Number: 1546678
zbMATH Keywords: group divisible designs
zbMATH Keywords: automorphic group
reviewed by: Esther R. Lamken
MaRDI profile type: Publication
full work available at URL: a:1005231923430
OpenAlex ID: W1530880828
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description: scientific article; zbMATH DE number 1546678