Further translation planes of order \(19^{2}\) admitting \(SL(2,5)\), obtained by nest replacement
type: Item
instance of: scholarly article
title: Further translation planes of order \(19^{2}\) admitting \(SL(2,5)\), obtained by nest replacement
zbMATH Open document ID: 1184.51003
author: Alan R. Prince
published in: Designs, Codes and Cryptography
publication date: 2009-03-31T00:00:00Z
review text: The author constructs three translation planes of order \(19^{2}\) admitting \(SL(2,5)\), obtained by replacement of 24-nests of reguli in \(PG(3,19)\).
reviewed by: József Szilasi
Mathematics Subject Classification ID: 51A40
Mathematics Subject Classification ID: 51E15
zbMATH DE Number: 5536757
zbMATH Keywords: translation planes
zbMATH Keywords: nest replacement
zbMATH Keywords: \(SL(2,5)\)
MaRDI profile type: Publication
full work available at URL: s10623-008-9205-7
OpenAlex ID: W2137363595
cites work: Q3743956
cites work: Filling the nest gaps
cites work: Some multiply derived translation planes with SL(2,5) as an inherited collineation group in the translation complement
cites work: Q5606475
cites work: Inversive geometry and some new translation planes. I
cites work: Endliche Gruppen I
cites work: The translation planes of order 81 that admit \(\mathbf{SL}(2,5)\), generated by affine elations
cites work: Q5489470
cites work: A translation plane of order \(19^2\) admitting \(\mathrm{SL}(2,5)\), obtained by 12-nest replacement
cites work: Konfigurationen einander meidender Kreise in miquelschen Möbiusebenen ungerader Ordnung
DOI: 10.1007/S10623-008-9205-7
description: scientific article; zbMATH DE number 5536757