In this paper we assume E!,P!, ^{~} P! and rank G=2. Weshow that either b<3; or p=2 and the parabolics of G resemble theparabolics of the Rudvalis group.

In this paper we investigate finite groups G of local characteristic p which have an amalgam (P, ^{~} P) of minimal parabolics such that Y_{P}Y_{~ P} is neither normal in P nor in ^{~} P. We determine the structure of all the maximal p-locals containing S,and if p=2 we show that F^{*}(G) is isomorphic to one of L_{3}(q), Sp_{4}(q), Alt(6) and M_{23}.

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Last Revised 5/13/02