  In this paper, we show that both the general linear group $\gl{q}$ and the
special linear group $\slg{q}$ have both the EKR property and the EKR-module
property. This is done using an algebraic method; a weighted adjacency matrix
for the derangement graph for the group is found and Hoffman's ratio bound is
applied to this matrix. We also consider the group $\agl{q}$ and the
2-intersecting sets in $\PGL(2,q)$.
