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math.GRJan 29, 2014
27
citations (OpenAlex)
authors
  • Ruth Charney
  • Luis Paris
institutions
  • Brandeis University
  • Centre National de la Recherche Scientifique
  • Institut de Mathématiques de Bourgogne
  • Université de Bourgogne
arXiv abstractPDF
paper

Convexity of parabolic subgroups in Artin groups

arXiv:1401.7634 · doi:10.1112/blms/bdu077

Abstract

We prove that any standard parabolic subgroup of any Artin group is convex with respect to the standard generating set.

Cited by in corpus (10)

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  • A remark on thickness of free-by-cyclic groups
  • Determining the action dimension of an Artin group by using its complex of abelian subgroups
  • Quasi-Euclidean tilings over 2-dimensional Artin groups and their applications
  • Helly meets Garside and Artin
  • The conjugacy stability problem for parabolic subgroups in Artin groups
  • Metric systolicity and two-dimensional Artin groups
  • Cocompactly cubulated 2-dimensional Artin groups
  • A simple solution to the word problem for virtual braid groups
  • Centers of Artin groups defined on cones
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