Geometries of type M related to \(A_ 7\)
type: Item
instance of: scholarly article
title: Geometries of type M related to \(A_ 7\)
zbMATH Open document ID: 0588.51017
DOI: 10.1007/BF00149578
published in: Geometriae Dedicata
publication date: 1986-01-01T00:00:00Z
review text: The points of the \(A_ 7\) are the numbers (1,2,...,7), lines are all 3- sets and planes are formed by one class of projected planes of order 2. The object of this paper is to treat geometries which are extensions of the \(A_ 7\)-geometry. The author considers a finite geometry of type M satisfying certain conditions, and he shows that it belongs to one of six types (of four an example is known). The well-organized proof of the theorem is the content of the paper.
Mathematics Subject Classification ID: 51E30
zbMATH DE Number: 3944688
zbMATH Keywords: extensions of the \(A_ 7\)-geometry
zbMATH Keywords: finite geometry of type M
author: Gernot Stroth
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00149578
OpenAlex ID: W2072472042
description: scientific article; zbMATH DE number 3944688