On Sherk's plane of order 27
type: Item
instance of: scholarly article
title: On Sherk's plane of order 27
zbMATH Open document ID: 0586.51004
DOI: 10.1016/0024-3795(86)90111-4
author: M. L. Narayana Rao
author: K. Satyanarayana
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: \textit{F. A. Sherk} has found a new translation plane of order 27 [Geom. Dedicata 9, 307-316 (1980; Zbl 0393.51005)] and has given some properties of the translation complement \(\bar G\) of this new plane. The aim of this paper is to determine \(\bar G\) completely. It answers some conjectures of Sherk and of Ostrom on collineation groups of translation planes and corrects a statement of Sherk.
Mathematics Subject Classification ID: 51A40
Mathematics Subject Classification ID: 51E15
Mathematics Subject Classification ID: 15B33
zbMATH DE Number: 3940113
zbMATH Keywords: translation plane of order 27
zbMATH Keywords: translation complement
reviewed by: Herbert Hotje
MaRDI profile type: Publication
full work available at URL: 0024-3795(86)90111-4
OpenAlex ID: W1992684078
cites work: Eine nicht-desarguesche zweifach transitive affine Ebene der Ordnung 27
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description: scientific article; zbMATH DE number 3940113