Abstract

Let G be a simple group of finite Morley rank with a definable BN-pair of rank 2 where B=UT for T=B ∩ N and U a normal subgroup of B with Z≠1. By [9] 853) the Weyl group W=N/T has cardinality 2n with n=3,4,6,8 or 12. We prove here:Theorem 1. If n=3, then G is interpretably isomorphic to PSL3 for some algebraically closed field K.Theorem 2. Suppose Z contains some B-minimal subgroup AZ with RMRM for both parabolic subgroups P1 and P2. Then n=3,4 or 6 and G is interpretably isomorphic to PSL3, PSp4 or G2 for some algebraically closed field K.Theorem 3. If U is nilpotent and n≠8, then G is interpretably isomorphic to either PSL3, PSp4 or G2 for some algebraically closed field K