Abstract
In [IO] Hcring introduced the concept of a strongly irreducible collineation group. Let n be a projective plane, K a collineation group of n; K is said to be strongly irreducible iff K fixes no points, lines triangles. or subplanes of n. If K is a finite group acting strongly irreducible on 71 generated by perspectivities, then Hering shows in ] 10 ] that K is either an extension of a 3-group with a subgroup of the automorphismgroup or there is a normal subgroup G in K, G a nonabelian finite simple group, such that K < Aut(G). The aim of this paper is to prove the following theorem. ,
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