Chevalley group (awaiting review)

The Chevalley groups are examples of groups of Lie type over finite fields. They generalise the classical linear, symplectic, orthogonal, and unitary matrix groups. In many cases, these are examples of finite simple groups.

• $A(n, q)$ is the special linear group $\SL(n+1, q)$.
• $B(n, q)$ is the orthogonal group $\Omega(2n + 1, q)$.
• $C(n,q)$ is the symplectic group $\Sp(2n,q)$.
• $D(n, q)$ is the orthogonal group $\OmegaPlus(2n,q)$.