Small groups of finite Morley rank with a supertight automorphism.

Let G be an infinite simple group of finite Morley rank and of Prüfer 2-rank 1 which admits a supertight automorphism α such that the fixed-point subgroup C G (α n) is pseudofinite for all integers n > 0. The main result of this paper is the identification of G with PGL 2 (K) for some algebraically closed field K of characteristic ≠2. [ABSTRACT FROM AUTHOR]