%0 Journal Article
%T Equations and fully residually free groups
%A Olga Kharlampovich
%A Alexei Myasnikov
%J Mathematics
%D 2009
%I arXiv
%X This paper represents notes of the mini-courses given by the authors at the GCGTA conference in Dortmund (2007), Ottawa-Saint Sauveur conference (2007), Escola d'Algebra in Rio de Janeiro (2008) and Alagna (Italy, 2008) conference on equations in groups. We explain here the Elimination process for solving equations in a free group which has Makanin-Razborov process as a prototype. We also explain how we use this process to obtain the structure theorem for finitely generated fully residually free groups and many other results.
%U http://arxiv.org/abs/0904.4482v1