Collineation groups of translation planes admitting hyperbolic Buekenhout or parabolic Buekenhout-Metz unitals
type: Item
instance of: scholarly article
title: Collineation groups of translation planes admitting hyperbolic Buekenhout or parabolic Buekenhout-Metz unitals
zbMATH Open document ID: 1120.51002
published in: Journal of Combinatorial Theory. Series A
publication date: 2007-05-10T00:00:00Z
review text: The authors examine some properties of Buekenhout-Metz unitals' extensions for arbitrary fields, Buekenhout hyperbolic unitals extensions to \(PG(3,k)\), collineation groups preserving a hyperbolic Buekenhout unital and the finite translation planes admitting transitive parabolic Buekenhout-Metz unitals.
Mathematics Subject Classification ID: 51A40
zbMATH DE Number: 5151545
zbMATH Keywords: unital
zbMATH Keywords: parabolic unital
zbMATH Keywords: hyperbolic unital
zbMATH Keywords: collineation groups
zbMATH Keywords: translation planes
author: Norman L. Johnson
author: Rolando J. Pomareda
reviewed by: Süleyman Çiftçi
MaRDI profile type: Publication
full work available at URL: j.jcta.2006.08.006
OpenAlex ID: W2052826687
cites work: A structure theory for two-dimensional translation planes of order \(q^2\) that admit collineation groups of order \(q^2\)
cites work: Existence of unitals in finite translation planes of order \(q^2\) with a kernel of order \(q\)
cites work: A group theoretic characterization of Buekenhout-Metz unitals
cites work: A characterization of the Desarguesian planes of order \(q^ 2\) by \(SL(2,q)\)
cites work: Flocks of quadratic cones, generalized quadrangles and translation planes
cites work: Q3694152
cites work: On translation planes of order \(q^ 2\) that admit a group of order \(q^ 2(q-1)\); Bartolone's theorem
cites work: Baer involutions in translation planes admitting large elation groups
cites work: Infinite flocks of a quadratic cone
cites work: Transitive parabolic unitals in semifield planes
cites work: The translation planes of order 81 that admit \(\mathbf{SL}(2,5)\), generated by affine elations
cites work: On a class of unitals
DOI: 10.1016/J.JCTA.2006.08.006
description: scientific article; zbMATH DE number 5151545