Test map and Discreteness in SL(2, $\mathbb{H}$)

Krishnendu Gongopadhyay, Abhishek Mukherjee, Sujit Kumar Sardar

Let SL(2, $\mathbb{H}$) be the group of $2\times 2$ quaternionic matrices $A=\left(\begin{array}{cc}a& b\\ c& d\end{array}\right)$ with quaternionic determinant $\det A=|ad-ac{a}^{-1}b|=1$.…