Debattam Das

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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.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…