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

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