Let T \in \textsl{SL}(n,\mathbb{Z}), let G be a nonsingular n×n matrix with integer elements, and put S\equal{}G^{\minus{}1}TG. Prove that there is a natural number k such that S^k \in \textsl{SL}(n,\mathbb{Z}).
Gy. Szekeres linear algebramatrixlinear algebra unsolved