4 papers · 1 filter
Infinite Girth, Finite Quotients, and Nielsen Connectivity in Groups
Pratyush Mishra
We develop new methods for studying infinite girth in finitely generated residually finite groups, particularly those containing no non-abelian free subgroups and satisfying no non…
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…
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…
Dynamics of primitive elements under group actions
Pratyush Mishra
We investigate group actions in which certain primitive elements fix a point, while not all group elements possess this property when acting upon some space. Using similar dynamica…