  A sharply 2-transitive permutation group of finite Morley rank and
characteristic 2 splits; a split sharply 2-transitive permutation group of
finite Morley rank and characteristic different from 2 is the group of affine
transformations of an algebraically closed field. In particular, a sharply
2-transitive permutation group of finite Morley rank of characteristic 3 is the
group of affine transformations of an algebraically closed field of
characteristic 3.Without any assumption on Morley rank, a sharply 2-transitive
permutation group of characteristic 0 splits if its point stabilizers are
virtually abelian.
