Debattam Das

activity

20232026

collaborators

6 papers

math.GT2026

Minimal Filling pair of non orientable surfaces

Debattam Das, Souvik Pal, Bidyut Sanki

For $g \geq 3$ , let $N_{g}$ denote the non-orientable surface of genus $g$ . In this article, we establish the existence of filling pairs on $N_{g}$ that intersect minimally by constructi…

math.GT2026

Combinatorial Structure of Inert and Ambiguous Classes in Modular Group

Debattam Das, Krishnendu Gongopadhyay, Khushi Mishra

We study inert, and ambiguous conjugacy classes in the modular group $PSL (2, Z)$ from a purely combinatorial perspective. Using word length in the free product rep…

math.GR2025

Asymptotic growth of the number of Reciprocal Classes in the Hecke Groups

Debattam Das, Krishnendu Gongopadhyay

We estimate the asymptotic growth of reciprocal conjugacy classes in Hecke groups using their free product structure and word lengths of reciprocal elements. Our approach is differ…

math.GR2024

Spherical growth of reciprocal classes in the Hecke Groups

Debattam Das, Krishnendu Gongopadhyay

Let $r \in Z$ , $r > 2$ , and let $Γ_{2 r} ≅ (Z /2 Z) * (Z /2 r Z)$ be the Hecke group. Let $N_{ℓ}$ denote the set of conjugacy…

math.GT2024

Reversible and other generalised torsion elements in Seifert-fibered spaces

Anushree Das, Debattam Das

An element $a$ in a group $Γ$ is called \emph{reversible} if there exists $g \in Γ$ such that $g a g^{- 1} = a^{- 1}$ . The reversible elements are also known as `real elements' or `recip…

math.GR2023

Reciprocity in the Hecke Groups

Debattam Das, Krishnendu Gongopadhyay

An element $g$ in a group $G$ is called \emph{reciprocal} if there exists $h \in G$ such that $g^{- 1} = h g h^{- 1}$ . The reciprocal elements are also known as `real elements' or `rever…