I know that there exists a nice presentation (generators and relations) of the general linear group over a finite field (by Steinberg, I think). Is there also a nice presentation of $GL(n,\mathbb{Z}/m\mathbb{Z})$ for an arbitrary integer $m$? And perhaps also for the symplectic group over $\mathbb{Z}/m\mathbb{Z}$?
I want to do some calculations in these groups with a computer and my first problem was surprised thatto determine these groups. One solution $GL(n,\mathbb{Z}/m\mathbb{Z})$(my current) is implemented in GAPof course to determine both by brute force. But already for small m, so I assume that there exists a presentation but I could not find anything in the referencesn this takes too much time.