Abstract
In this paper, we show that both the general linear group GL(2,q) and the special linear group SL(2,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(2,q) and the 2-intersecting sets in PGL(2,q).
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