A non-symmetric translation plane of order \(17^ 2\)
type: Item
instance of: scholarly article
title: A non-symmetric translation plane of order \(17^ 2\)
zbMATH Open document ID: 0705.51003
DOI: 10.1007/BF01230360
author: Chris Charnes
published in: Journal of Geometry
publication date: 1990-01-01T00:00:00Z
review text: Inspired by a recent work of \textit{N. L. Johnson} [J. Geom. 36, No.1/2, 63-90 (1989; Zbl 0695.51003)] the author proves the existence of a two- dimensional translation plane of order \(17^ 2\), whose full ranslation complement consists of the kernel homologies, and that this translation plane gives rise to \((17^ 2+1)(17+1)\) mutually nonisomorphic strict semi-translation planes of order \(17^ 2\). The reader may find the details in the original paper and the related notation and concepts in the above quoted Johnson's paper.
Mathematics Subject Classification ID: 51A40
Mathematics Subject Classification ID: 51D20
zbMATH DE Number: 4157363
zbMATH Keywords: ovoids
zbMATH Keywords: homology
zbMATH Keywords: translation plane
reviewed by: Giorgio Faina
MaRDI profile type: Publication
cites work: New families of ovoids in \(O\) \(+_ 8\)
cites work: The derivation of dual translation planes
Recommended article: Q3756884
Recommended article: Q5688111
Recommended article: Q3733668
Recommended article: Q5499948
Recommended article: A translation plane of order \(7^ 2\) with a very small translation complement
Recommended article: Translation planes of order 27
Recommended article: Q5480738
Recommended article: A translation plane of order 25
Recommended article: A class of translation planes of square order
Recommended article: On a class of translation planes of square order
description: scientific article; zbMATH DE number 4157363