We assume that $n = 2$. Let $u$ be an endomorphism of $E$ nilpotent of index $p \geqslant 2$. Construct a basis of $E$ in which the matrix of $u$ is equal to $J_2$.
We assume that $n = 2$. Let $u$ be an endomorphism of $E$ nilpotent of index $p \geqslant 2$.
Construct a basis of $E$ in which the matrix of $u$ is equal to $J_2$.