Notes on the derived Walker planes
type: Item
instance of: scholarly article
title: Notes on the derived Walker planes
zbMATH Open document ID: 0593.51005
DOI: 10.1016/0097-3165(86)90107-X
author: Vikram Jha
author: Norman L. Johnson
published in: Journal of Combinatorial Theory. Series A
publication date: 1986-01-01T00:00:00Z
review text: This is a note dealing with translation planes of order \(q^ 2\) admitting a collineation group of order q(q-1). Classes of such planes have been studied by \textit{M. L. Narayana Rao} and \textit{K. Satyanarayana} [J. Comb. Theory, Ser. A 35, 33-82 (1983; Zbl 0512.51010)]. Other such classes were introduced by \textit{S. D. Cohen} and \textit{M. J. Ganley} [Q. J. Math., Oxf. II. Ser. 35, 101-113 (1984; Zbl 0541.51005)]. The authors now show that all the planes of Nayarana Rao and Satyanarayana and one of the classes of Cohen and Ganley may be obtained by the derivation of Walker planes [cf. \textit{J.B. Fink}, \textit{N. L. Johnson}, and \textit{F. W. Wilke}, Rend. Circ. Mat. Palermo, II. Ser. 32, 76-99 (1983; Zbl 0532.51006)].
Mathematics Subject Classification ID: 51A40
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 3953689
zbMATH Keywords: translation planes
zbMATH Keywords: collineation group
zbMATH Keywords: derivation of Walker planes
MaRDI profile type: Publication
cites work: A characterization of ''likeable'' translation planes
cites work: A new class of square order planes
description: scientific article; zbMATH DE number 3953689