6.10 (1978)

Let $p$ be a prime and $n$ be an integer with $p > 2n + 1$. Let $x, y$ be $p$-elements in $GL_n(\mathbb{C})$. If the subgroup $\langle x, y \rangle$ is finite, then it is an abelian $p$-group (W. Feit, J. G. Thompson, Pacif. J. Math., 11, no. 4 (1961), 1257–1262). What can be said about $\langle x, y \rangle$ in the case it is an infinite group?