  Let $R$ be a ring generated by $l$ elements with stable range $r$. Assume
that the group $EL_d(R)$ has Kazhdan constant $\epsilon_0>0$ for some $d > r $.
We prove that there exist $\epsilon(\epsilon_0,l) >0$ and $k \in N$, s.t. for
every $n \geq d$, $EL_n(R)$ has a generating set of order $k$ and a Kazhdan
constant larger than $\epsilon$. As a consequence, we obtain for $SL_n(Z)$
where $n \geq 3$, a Kazhdan constant which is independent of $n$ w.r.t
generating set of a fixed size.
