The collineation groups of generalized twisted field planes
type: Item
instance of: scholarly article
title: The collineation groups of generalized twisted field planes
zbMATH Open document ID: 0936.51003
DOI: 10.1023/A:1005089016092
author: Mauro Biliotti
author: Vikram Jha
author: Norman L. Johnson
published in: Geometriae Dedicata
publication date: 2000-01-03T00:00:00Z
review text: This paper discusses certain aspects of generalized twisted field planes. Autotopisms are investigated; in particular the authors consider the case where the autotopism group acts transitively on the nonvertex points of one or more sides of the autotopism triangle. Furthermore, isotopisms of generalized twisted fields are studied. Necessary and sufficient conditions are given as to when a generalized twisted field plane is self-dual or contains a polarity. These results can be used to improve some results concerning semifield planes.
reviewed by: Bart De Bruyn
Mathematics Subject Classification ID: 51E15
zbMATH DE Number: 1335237
zbMATH Keywords: generalized twisted field planes
zbMATH Keywords: autotopism group
zbMATH Keywords: self-dual
zbMATH Keywords: polarity
zbMATH Keywords: semifield planes
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1335237