Some generalization of Desargues and Veronese configurations

Prazmowska, Malgorzata; Krzysztof, Prazmowski

Serdica Mathematical Journal (2006)

  • Volume: 32, Issue: 2-3, page 185-208
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: 51E14, 51E30.We propose a method of constructing partial Steiner triple system, which generalizes the representation of the Desargues configuration as a suitable completion of three Veblen configurations. Some classification of the resulting configurations is given and the automorphism groups of configurations of several types are determined.

How to cite

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Prazmowska, Malgorzata, and Krzysztof, Prazmowski. "Some generalization of Desargues and Veronese configurations." Serdica Mathematical Journal 32.2-3 (2006): 185-208. <http://eudml.org/doc/281376>.

@article{Prazmowska2006,
abstract = {2000 Mathematics Subject Classification: 51E14, 51E30.We propose a method of constructing partial Steiner triple system, which generalizes the representation of the Desargues configuration as a suitable completion of three Veblen configurations. Some classification of the resulting configurations is given and the automorphism groups of configurations of several types are determined.},
author = {Prazmowska, Malgorzata, Krzysztof, Prazmowski},
journal = {Serdica Mathematical Journal},
keywords = {Desargues Configuration; Veblen Configuration; Partial Steiner Triple System; Graph; Combinatorial Grassmannian; Combinatorial Veronesian; Desargues configuration; Veronese configuration; partial Steiner triple system; graph; combinatorial Grassmannian; combinatorial Veronesian},
language = {eng},
number = {2-3},
pages = {185-208},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Some generalization of Desargues and Veronese configurations},
url = {http://eudml.org/doc/281376},
volume = {32},
year = {2006},
}

TY - JOUR
AU - Prazmowska, Malgorzata
AU - Krzysztof, Prazmowski
TI - Some generalization of Desargues and Veronese configurations
JO - Serdica Mathematical Journal
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 32
IS - 2-3
SP - 185
EP - 208
AB - 2000 Mathematics Subject Classification: 51E14, 51E30.We propose a method of constructing partial Steiner triple system, which generalizes the representation of the Desargues configuration as a suitable completion of three Veblen configurations. Some classification of the resulting configurations is given and the automorphism groups of configurations of several types are determined.
LA - eng
KW - Desargues Configuration; Veblen Configuration; Partial Steiner Triple System; Graph; Combinatorial Grassmannian; Combinatorial Veronesian; Desargues configuration; Veronese configuration; partial Steiner triple system; graph; combinatorial Grassmannian; combinatorial Veronesian
UR - http://eudml.org/doc/281376
ER -

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