1. This matrix subgroup is precisely the special unitary group . 2. This is equivalent to the special unitary group description. 3. However, algorithms to produce Clebsch Gordan coefficients for the special unitary group are known. 4. Such matrices form a Lie group called SU ( 2 ) ( see special unitary group ). 5. The stabilizer of 3 points is the projective special unitary group PSU ( 3, 2 2 ), which is solvable. 6. In modern terms, this presents the special unitary group SU ( 2 ) as a double cover of SO ( 3 ). 7. The PSU obviously refers to the projective special unitary group . . . but I am only familiar with this over the complex numbers. 8. The center of the special unitary group has order and consists of those unitary scalars which also have order dividing " n ". 9. From the perspective of Lie groups, " S " 3 can be identified with the special unitary group SU ( 2 ). 10. A r has as its associated simply connected compact group the special unitary group , PU ( " r " + 1 ).