get a section (canonically) $\sigma$ of $E(Gl(V)/P)$. Restricting to the generic fiber gives a $k(X)$-valued point $\sigma_\circ$ of $E(Gl(V)/P)_\circ$. In \[RR\], it is shown that if either $\sigma_\circ$ is a semistable point for action described above or its instability parabolic (see \[Section 3\] for definition), which is in general defined over $\bar{k(X)}$, is actually defined over $k(X)$, then this section (or equivalently this reduction) does not contradict semistability. In char 0, using uniqueness of the instability parabolic and Galois descent, this proves the semistability of the induced bundles. In \[CH\] it is shown that that there exists a non-negative integer $t$ such that for all possible reductions to all the maximal parabolics the instability parabolics of points corresponding to these reductions is actually defined over $k(X)^{p^{-t}}$. This can be shown to imply that if $E$ is a semistable principal $G$-bundle with first $t$ frobenius pullbacks semistable, the induced $Gl(V)$-bundle is also semistable. The main aim of this paper is to give bounds for this $t$ in terms of certain numerical data attached to $G$ and $\rho$.\

Basic definitions and preliminary notions
=========================================

[\[Basic definition\]]{}

In this section we set up some notations and recall some of basic definitions and facts 