Some remarks on the symplectic group $Sp(2g,\mathbb{Z})$

Kumar Balasubramanian, Ganesh Ji Omar

Let $G=\Sp(2g,\mathbb{Z})$ be the symplectic group over the integers. Given $m\in \mathbb{N}$, it is natural to ask if there exists a non-trivial matrix $A\in G$ such that $A^{m}=I…