What is one possible minimal generating set of the general linear group $GL_{m}(Z_{p})$?
It might be very easy question whose solution is known to everyone except me. Kindly help me with the same.
Edit: For example,
Consider the group $GL_2(Z_{2})$, is non abelian group of order 6, i.e., $GL_2(Z_{2}) \cong S_3$ and the set $\Big\{\begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix},\begin{bmatrix} 0 & 1 \\ 1 & 1 \end{bmatrix} \Big\}$ generates $GL_2(Z_{2})$.
One set of generators for $GL(n,q)$ with $q\neq 2$ is given by $$ A(\xi)={\rm diag}(\xi,1,1,\ldots ,1), \quad B= \begin{pmatrix} -1 & 0 & \cdots & 0 & 1 \cr -1 & 0 & \cdots & 0 & 0 \cr 0 & -1 & \cdots & 0 & 0 \cr & & \ddots \cr 0 & 0 &\ldots & -1 & 0\end{pmatrix} $$