3 papers
math.RA2025
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…
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…
math.GR2024
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…