13 citations · 17 across the 3 of their papers we have counts for
3 papers
math.GR2010★ 13 cited
Diophantine Geometry over Groups X: The Elementary Theory of Free Products of Groups
Zlil Sela
This paper is the 10th in a sequence on the structure of sets of solutions to systems of equations over groups, projections of such sets (Diophantine sets), and the structure of de…
math.GR2009★ 3 cited
Makanin-Razborov Diagrams over Free Products
E. Jaligot, Z. Sela
This paper is the first in a sequence on the first order theory of free products. In the first paper we generalize the analysis of systems of equations over free and (torsion-free)…
math.GR2003★ 1 cited
Diophantine geometry over groups and the elementary theory of free and hyperbolic groups
Zlil Sela
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 e…