Factorial design and Abelian groups
type: Item
instance of: scholarly article
title: Factorial design and Abelian groups
zbMATH Open document ID: 0586.62123
DOI: 10.1016/0024-3795(85)90064-3
author: R. A. Bailey
published in: Linear Algebra and its Applications
publication date: 1985-01-01T00:00:00Z
review text: This paper primarily deals with the applications of the theory of finite Abelian groups in simplifying the search for as well as the construction of factorial designs. The main result of this paper shows how the decomposition of a finite Abelian group into a direct sum of its Sylow subgroups can be used to simplify many design problems. Thus considering Abelian groups of prime-power order, and specializing these results to fractional replicates and blocked single replicates it is shown that problems in designs for general finite Abelian groups may be reduced to similar problems for elementary Abelian groups.
Mathematics Subject Classification ID: 62K15
Mathematics Subject Classification ID: 20K01
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 3940508
zbMATH Keywords: construction of factorial designs
zbMATH Keywords: decomposition
zbMATH Keywords: Sylow subgroups
zbMATH Keywords: prime- power order
zbMATH Keywords: fractional replicates
zbMATH Keywords: blocked single replicates
MaRDI profile type: Publication
full work available at URL: 0024-3795(85)90064-3
OpenAlex ID: W2067614022
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description: scientific article; zbMATH DE number 3940508