Diophantine Geometry over Groups and the Elementary Theory of Free and Hyperbolic Groups *

  • Z. Sela
  • Published 2003
We study sets of solutions to equations over a free group, projections of such sets, and the structure of elementary sets defined over a free group. The structre theory we obtain enable us to answer some questions of A. Tarski’s, and classify those finitely generated groups that are elementary equivalent to a free group. Connections with low dimensional… CONTINUE READING