A new look at finitely generated metabelian groups
  A group is metabelian if its commutator subgroup is abelian. For finitely generated metabelian groups, classical commutative algebra, algebraic geometry and geometric group theory, especially the latter two subjects, can be brought to bear on their study. The object of this paper is to describe some of the new ideas and open problems that arise. 
Gilbert Baumslag (City College of New York), Roman Mikhailov (Steklov   Mathematical Institute), Kent E. Orr (Indiana Univer...
math.GR math.GN