arXiv subjects

Pratit Goswami

Publications and source records attributed to Pratit Goswami.

2 recordsLinked to original sources

arXiv2025

Isoperimetric behavior of generalized Stallings-Bieri groups

We introduce the notion of $n$-split for an epimorphism from a group to a finite rank free abelian group. This is used to provide bounds for the Dehn functions of certain coabelian subgroups of direct products of finitely presented groups. Such subgroups include and significantly generalize the Stallings-Bieri groups.

math.GR↗

arXiv2025

Superexponential distortion of free groups in virtually special Groups

For all integers $k, m > 0$, we construct a virtually special group $G$ containing a finite rank free subgroup $F$ whose distortion function in $G$ grows like $\exp^k(x^m)$. We also construct examples of virtually special groups containing finite rank free subgroups whose distortion functions grow bigger than any iterated exponential.

math.GT↗