The rank 2 geometries of the simple Suzuki groups \(Sz(q)\)
type: Item
instance of: scholarly article
title: The rank 2 geometries of the simple Suzuki groups \(Sz(q)\)
zbMATH Open document ID: 0914.51009
author: Dimitri Leemans
published in: Beiträge zur Algebra und Geometrie
publication date: 1998-04-07T00:00:00Z
full work available at URL: https://eudml.org/doc/230963
full work available at URL: 10.html
review text: The author considers point-line coset geometries for the finite Suzuki groups \(G=Sz(q)\), where the point stabilizer \(G_x\) is maximal in \(G\) and the flag stabilizer \(G_{x,\ell}=G_x\cap G_\ell\) is maximal in \(G_x\) and different from the line stabilizer \(G_\ell\). All such quadruples \((G,G_x, G_\ell, G_{x,\ell})\) are explicitly determined. The special case of \(Sz(8)\) is then considered in some more detail.
Mathematics Subject Classification ID: 51E24
zbMATH DE Number: 1127642
zbMATH Keywords: Suzuki simple group
zbMATH Keywords: rank 2 geometries
zbMATH Keywords: transitive action
zbMATH Keywords: diagram geometries
reviewed by: Linus Kramer
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1127642