On a theorem of Ganley
type: Item
instance of: scholarly article
title: On a theorem of Ganley
zbMATH Open document ID: 0659.05028
DOI: 10.1007/BF01788537
author: Dieter Jungnickel
published in: Graphs and Combinatorics
publication date: 1987-01-01T00:00:00Z
review text: Let D be a relative difference with parameters (n,n,n,1) in an Abelian group G of even order \(n^ 2\). By a result of Ganley [\textit{M. J. Ganley}, Arch. Math. 27, 93-98 (1976; Zbl 0323.20046)], n is necessarily a power of 2 and G is a direct sum of copies of \({\mathbb{Z}}_ 4\). We present a simple (and much shorter) alternative proof of this result, based on a geometric argument and a simple characterization of the groups in question.
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 4077234
zbMATH Keywords: relative difference
zbMATH Keywords: Abelian group
zbMATH Keywords: direct sum
MaRDI profile type: Publication
cites work: Q5545191
cites work: Planes of order \(n\) with collineation groups of order \(n^ 2\)
cites work: On a paper of Dembrowski and Ostrom
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cites work: Q5683869
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description: scientific article; zbMATH DE number 4077234