Debattam Das

collaborators

4 papers

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.GR2025

Spherical growth of reciprocal classes in the Hecke Groups

Debattam Das, Krishnendu Gongopadhyay

Let $I^_{p}$ denote the Hecke group where $p = 2 r$ , $r > 0$ . Let $N_{l}$ denote the set of conjugacy classes of reciprocal elements of word length $l$ in $I^_{p}$ . We prove that fo…

math.GT2025

Reversible and other generalised torsion elements in Seifert-fibered spaces

Anushree Das, Debattam Das

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