[GAP Forum] specail linear group recognization

[Ayan Mahalanobis]

Hello Forum,

I am trying to find out whether a set generates the special linear group 
over a given finite field. In my quest I pick a set of matrices and then 
generate the group by them using the Group function. Then I issue the 
command group=SL(d,q), where d is the degree of the matrix and the q is 
the finite field. But this is not successful even for small d and q.

So basically my question is: Is there a better way to check that a given 
group ( given as a matrix group by generators) equals the special linear 
group?

Regards,
Ayan