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 $g^{-1}=hg{h}^{-1}$. The reciprocal elements are also known as `real elements' or `rever…