Henry Bowman Brady

Ryan Brady

The Brady Bunch

Wang and Brady Reply.

Quasi-kähler Bestvina-brady Groups

A finite simple graph Γ determines a right-angled Artin group GΓ, with one generator for each vertex v, and with one commutator relation vw = wv for each pair of vertices joined by an edge. The Bestvina-Brady group NΓ is the kernel of the projection GΓ → Z, which sends each generator v to 1. We establish precisely which graphs Γ give rise to quasi-Kähler (respectively, Kähler) groups NΓ. This y...

An Isoperimetric Function for Bestvina-brady Groups

Given a right-angled Artin group A, the associated BestvinaBrady group is defined to be the kernel of the homomorphism A → Z that maps each generator in the standard presentation of A to a fixed generator of Z. We prove that the Dehn function of an arbitrary finitely presented BestvinaBrady group is bounded above by n. This is the best possible universal upper bound.