The maximum of |S1| times |S2| is determined for cross-1-intersecting subsets S1 and S2 of GL_2(q) in an irreducible principal series representation satisfying the stated conditions.
Bump.Automorphic forms and representations, volume 55 ofCambridge Studies in Advanced Mathematics
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An Erd\H{o}s-Ko-Rado result for some principal series representations
The maximum of |S1| times |S2| is determined for cross-1-intersecting subsets S1 and S2 of GL_2(q) in an irreducible principal series representation satisfying the stated conditions.