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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Mathematische Annale...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Mathematische Annalen
Article . 1987 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1987
Data sources: zbMATH Open
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Building buildings

Authors: Ronan, M.A.; Tits, J.;

Building buildings

Abstract

In Lect. Notes Math. 1181, 242-248 (1986; Zbl 0588.51015) the first author gave a construction for buildings of type M whose diagram contains no subdiagram of type \(A_ 3\), \(C_ 3\) or \(H_ 3\). The purpose of this paper is to extend the result to diagrams which may contain \(A_ 3\) or \(C_ 3\) subdiagrams but no \(H_ 3\) subdiagram. For doing this the authors introduce the concept of a blueprint. This is a set of data related to the several generalized n-gons which build up the building and contains information imposed by the diagram. For example in a diagram of type \(A_ 3\) the projective planes have to be Desarguesian. A blueprint is said to be realizable if there is a building carrying this blueprint. The first result of this paper says that a blueprint is realisable if its restriction to each rank 3 subdiagram is realisable. This result is used to show that there are buildings of any type. In fact the construction gives all buildings of spherical type, all buildings obtained from a BN- pair attached to Kac-Moody data (without using Lie-algebra) and many of the affine buildings.

Countries
Germany, Belgium
Keywords

Mathématiques, General theory of linear incidence geometry and projective geometries, 510.mathematics, Geometric group theory, chamber systems, buildings, Article, Other finite incidence structures (geometric aspects)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Average
Top 10%
Average
Green