If R is a commutative ring with unit, then the commutator
subgroup of GLn(R) is SLn(R), the special linear group, which
consists of all matrices in GLn(R) with determinant 1.
If R is a commutative ring with unit, then the commutator
subgroup of GLn(R) is SLn(R), the special linear group, which
consists of all matrices in GLn(R) with determinant 1.