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math.GR2026
Boundary Dynamics, Cubical Actions, and Infinite Girth
Tattwamasi Amrutam, Arka Banerjee, Daniel L. Gulbrandsen +1
We develop two methods for proving infinite girth from boundary dynamics. First, we use topologically free extreme boundary actions to give a boundary-dynamical proof of infinite g…
math.GR2024
On the Girth of Groups acting on CAT(0) cube complexes
Arka Banerjee, Daniel Gulbrandsen, Pratyush Mishra +1
We obtain a sufficient condition for lattices in the automorphism group of a finite dimensional CAT(0) cube complex to have infinite girth. As a corollary, we get a version of Girt…