Mario Mainardis   Ulrich Meierfrankenfeld   Gemma Parmeggiani   Bernd Stellmacher

Abstract:

In this paper we assume P!,  Q!, gb>1 for P and that there exists two minimal parabolics P₁ and P₂ containing S such that  M_i:=< P , P_i >  is contained in a local subgroup and P_i does not normalizes P° . We show that p=3 or 5, M_i/Op(M_i) is isomorphic to SL₃(p) and M_i has exactly 2 composition factors in Op(M_i), namely two natural modules dual to each other.

Last Revised 8/23/05