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Simple groups of finite morley rank and Tits buildings
1999
Israel Journal of Mathematics
THEOREM A: If ~3 is an infinite Moufang polygon of finite Morley rank, then ~3 is either the projective plane, the symplectic quadrangle, or the split Cayley hexagon over some algebraically closed field. In particular, ~3 is an algebraic polygon. It follows that any infinite simple group of finite Morley rank with a spherical Moufang BN-pair of Tits rank 2 is either PSL3(K), PSp4(K ) or G2(K) for some algebraically closed field K. Spherical irreducible buildings of Tits rank _> 3 are uniquely
doi:10.1007/bf02775036
fatcat:sum5rojxm5hrjdyrvmfm5uzzeu