A generalized Desargues configuration and the pure braid group

• Tipo: Artigo em Revista Científica Internacional
• Data: 1996

Autores

Cordovil, R (Autor) Outra; deOliveira, AG (Autor) FCUP; LasVergnas, M (Autor) Outra

Revista

Título: Discrete Mathematics

Vol. 160

Páginas: 105-113

ISSN: 0012-365X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 1 Citação

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-001-DCS

DOI: 10.1016/0012-365x(95)00152-m

Abstract (EN): In this paper, a configuration with n = ((d)(2)) points in the plane is described. This configuration, as a matroid, is a Desargues configuration if d = 5, and the union of ((d)(5)) such configurations if d>5. As an oriented matroid, it is a rank 3 truncation of the directed complete graph on d vertices. From this fact, it follows from a version of the Lefschetz-Zariski theorem implied by results of Salvetti that the fundamental group pi of the complexification of its line arrangement is Artin's pure (or coloured) braid group on n strands. In this paper we obtain, by using techniques introduced by Salvetti, a new algorithm for finding a presentation of pi based on this particular configuration.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 9