On the foundations of incidence geometry
type: Item
instance of: scholarly article
title: On the foundations of incidence geometry
zbMATH Open document ID: 0647.51003
DOI: 10.1007/BF00191928
author: Francis Buekenhout
author: Dominique Buset
published in: Geometriae Dedicata
publication date: 1988-01-01T00:00:00Z
review text: Diagram geometries and chamber systems of various types have been used and investigated intensively in recent years - not only in finite group theory, but in other areas as well. This development has led to a need for some clarification of the variations and generalizations introduced by the many authors, and for a discussion of the different axiomatic approaches. The authors concentrate on the approach based on incidence geometry and discuss many important local and global properties of interest such as transversality, all sorts of connectedness and aspects of introducing types on the geometry. Besides explicit statements of the various interrelations many examples are given,hence the reader is provided with a lot of detailed helpful information.
Mathematics Subject Classification ID: 51B99
Mathematics Subject Classification ID: 51E25
zbMATH DE Number: 4056431
zbMATH Keywords: Diagram geometries
zbMATH Keywords: chamber systems
zbMATH Keywords: incidence
zbMATH Keywords: transversality
zbMATH Keywords: connectedness
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00191928
OpenAlex ID: W4233427795
description: scientific article; zbMATH DE number 4056431