  In this article we improve the known uniform bound for subgroup growth of
Chevalley groups over $\mathbf{G}(\mathbb{F}_p[[t]])$. We introduce a new
parameter, the ridgeline number $v(\mathbf{G})$, and give new bounds for the
subgroup growth of $\mathbf{G}(\mathbb{F}_p[[t]])$ expressed through
$v(\mathbf{G})$. We achieve this by deriving a new estimate for the codimension
of $[U,V]$ where $U$ and $V$ are vector subspaces in the Lie algebra of
$\mathbf{G}$.
