Finitely generated groups with virtually free automorphism groups

Source abstract

It is shown that the full automorphism group of a finitely generated group G is virtually free if and only if the center Z ( G ) is finitely generated of torsion-free rank r at most two and, depending on the value of r , the central quotient G / Z ( G ) belongs to one of three precisely defined classes of virtually free groups. Some consequences and special cases are also discussed.