• Corpus ID: 248887251

On the structure of finitely presented Bestvina-Brady groups

  title={On the structure of finitely presented Bestvina-Brady groups},
  author={Priyavrat Deshpande and Mallika Roy},
. Right-angled Artin groups and their subgroups are of great interest be-cause of their geometric, combinatorial and algorithmic properties. It is convenient to define these groups using finite simplicial graphs. The isomorphism type of the group is uniquely determined by the graph. Moreover, many structural properties of right angled Artin groups can be expressed in terms of their defining graph. In this article we address the question of understanding the structure of a class of subgroups of… 

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  • Matt Clay
  • Mathematics
    Int. J. Algebra Comput.
  • 2014
We show that a right-angled Artin group, defined by a graph $\Gamma$ that has at least three vertices, does not split over an infinite cyclic subgroup if and only if $\Gamma$ is biconnected. Further,