Degree
Doctor of Philosophy (PhD)
Department
Mathematics
Document Type
Dissertation
Abstract
In this dissertation, we prove that if the flag complex on a finite simplicial graph is a 2-dimensional triangulated disk, then the Dehn function of the associated Bestvina--Brady group depends on the maximal dimension of the simplices in the interior of the flag complex. We also give some examples where the flag complex on a finite simplicial graph is not 2-dimensional, and we establish a lower bound for the Dehn function of the associated Bestvina--Brady group.
Date
6-18-2019
Recommended Citation
Chang, Yu-Chan, "Dehn Functions of Bestvina-Brady Groups" (2019). LSU Doctoral Dissertations. 4973.
https://repository.lsu.edu/gradschool_dissertations/4973
Committee Chair
Dani, Pallavi
DOI
10.31390/gradschool_dissertations.4973