Dehn functions and finiteness properties of subgroups of perturbed right-angled Artin groups Academic Article uri icon

abstract

  • We introduce the class of perturbed right-angled Artin groups. These are constructed by gluing Bieri double groups into standard right-angled Artin groups. As a first application of this construction we obtain families of CAT(0) groups containing finitely presented subgroups which are not of type $mathrm{FP}_3$, and have exponential, or polynomial Dehn functions of prescribed degree.

author list (cited authors)

  • Brady, N., Guralnik, D., & Lee, S. R.

publication date

  • January 1, 2011 11:11 AM