Algebraic structure of coordinates of a translation transversal design
type: Item
instance of: scholarly article
title: Algebraic structure of coordinates of a translation transversal design
zbMATH Open document ID: 0671.05015
DOI: 10.1007/BF02844271
author: Alessandro Basile
author: Paolo Brutti
publication date: 1988-01-01T00:00:00Z
review text: Let D be a transversal design which admits a group G acting regularly on the point set such that one has \(B=B^ g\) or \(B\cap B^ g=\emptyset\) for every block B and every group element g. Such a TD is called a translation transversal design (TTD). TTD's have been extensively studied starting with the fundamental paper by \textit{R. H. Schulz} [``Transversal designs and partitions associated with Frobenius groups'', J. Reine Angew. Math. 355, 153-162 (1985; Zbl 0546.05015)]. The present authors give an algebraic description of TDD's in terms of ``transversal modules''.
reviewed by: Dieter Jungnickel
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 4097392
zbMATH Keywords: translation transversal design
zbMATH Keywords: TTD
zbMATH Keywords: transversal modules
MaRDI profile type: Publication
cites work: Über Parallelstrukturen. I: Grundbegriffe. II: Translationsstrukturen. III: Zentrale \(t\)-Strukturen
cites work: On translation transversal designs
cites work: On the classification of translation group-divisible designs
full work available at URL: https://doi.org/10.1007/bf02844271
OpenAlex ID: W1994320754
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 4097392