Debattam Das

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20232026

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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…