# Special groups and special linear groups

Is there a connection between a special group (i.e. a p-group with its derived group, center and frattini subgroup all equal) and the special linear group (i.e. group of matrices with determinant=1)? I've seen the first one in finite group theory and the other one in linear algebra so I'm not sure if there's something more to it or not.

Not really -- there are too few words available to assign a common term for all situations one would like to distinguish. So the defined term is not "special" but "special linear", respectively "special $$p$$-group".