Projective symplectic group:PSp(4,3)

Definition
This group is defined in the following equivalent ways:


 * 1) It is the member of family::projective symplectic group of degree four (i.e., arising from $$4 \times 4$$ matrices) over field:F3. This is denoted $$PSp(4,3)$$ and the Chevalley notation is $$C_2(3)$$ -- however, due to collision with another family (see definition (3)) it is denoted $$B_2(3)$$.
 * 2) It is the member of family::projective special unitary group of degree four (i.e., arising from $$4 \times 4$$ matrices) over field:F2. This is denoted $$PSU(4,2)$$ and the Chevalley notation is.
 * 3) It is the member of family::Chevalley group of type B $$B_2(3)$$, i.e., the group $$\Omega_5(3)$$. This is kernel of the spinor norm on the special orthogonal group $$SO(5,3)$$.