5 papers
Infinite girth and profinite properties of residually finite groups
Pratyush Mishra
We develop two new general frameworks for constructing finitely generated residually finite groups that possess infinite girth, satisfy no non-trivial group law, and contain 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…
Comultiplicative map on projective resolution for a family of algebras one of which is cluster-tilted type D4
Pratyush Mishra, Tolulope Oke
We construct a comultiplicative map on the projective bimodule resolution for a family of algebras one of which is cluster-tilted of type D4. The comultiplicative map is presented…
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…