Embeddings of flag-transitive classical locally polar geometries of rank 3
type: Item
instance of: scholarly article
title: Embeddings of flag-transitive classical locally polar geometries of rank 3
zbMATH Open document ID: 0760.51010
DOI: 10.1007/BF00147865
published in: Geometriae Dedicata
publication date: 1993-01-16T00:00:00Z
review text: The author considers finite flag-transitive extended (classical and thick) generalized quadrangles, which are all classified, and determines all group-admissable embeddings of such geometries. An embedding here is what the author calls a (2,1)-embedding: the elements having a (circle)- geometry as residue are certain points of a projective space; the elements having a generalized digon as residue must then be full lines of the projective space. Group-admissable just means that the embedding preserves the automorphism group of the extended generalized quadrangle. The proof of the main result (the determination of all group-admissable embeddings of finite flag-transitive classical extended generalized quadrangles) is very group related. But the paper can also serve as a survey on finite flag-transitive classical extended generalized quadrangles.
Mathematics Subject Classification ID: 51E12
Mathematics Subject Classification ID: 51A50
zbMATH DE Number: 93780
zbMATH Keywords: embeddings
zbMATH Keywords: flag-transitive classical extended generalized quadrangles
author: Satoshi Yoshiara
reviewed by: Hendrik Van Maldeghem
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00147865
OpenAlex ID: W2057596262
description: scientific article; zbMATH DE number 93780