Algebraic characterization of reversibility in the quaternionic Möbius group

Krishnendu Gongopadhyay, Tejbir Lohan, Abhishek Mukherjee

An element of a group is called \emph{reversible} if it is conjugate to its inverse. While reversibility in the quaternionic Möbius group $\mathrm{PSL}(2,\mathbb{H})$ has traditio…