Subplanes of projective planes of order 121
type: Item
instance of: scholarly article
title: Subplanes of projective planes of order 121
zbMATH Open document ID: 1206.51002
author: Cafer Caliskan
author: Spyros S. Magliveras
published in: Journal of Geometry
publication date: 2010-10-29T00:00:00Z
review text: One of the major open questions in the theory of projective planes is the existence of a non-Desarguesian plane of prime order. The smallest open prime is \(p= 11\). In this paper the authors start with a Veblen-Wedderburn plane and a Hughes plane of order \(11^2\) and study subplanes generated by quadrangles. In particular Baer subplanes are of interest. The outcoming is that all such Baer planes are Desarguesian. Hence if one of these projective planes contains a Baer subplane which is non-Desarguesian, then it is not generated by a quadrangle.
reviewed by: Gernot Stroth
Mathematics Subject Classification ID: 51A35
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 5808434
zbMATH Keywords: non-desarguesian projective planes
zbMATH Keywords: subplanes
MaRDI profile type: Publication
full work available at URL: s00022-010-0039-x
OpenAlex ID: W2007176934
cites work: Q4354373
cites work: Q5545191
cites work: Subplanes of the Hughes plane of order 25
DOI: 10.1007/S00022-010-0039-X
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description: scientific article; zbMATH DE number 5808434