2009/04/28 by Olga Kharlampovich, Kharlampovich, Olga, Alexei Myasnikov +1
Mathematics · #20-02 #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.0904.4482
openalex publication_date 2009/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.