Equations and fully residually free groups

Details Equations and fully residually free groups Equations and fully residually free groups

2009-04-28

arxiv.org/abs/0904.4482v1

Mathematics

Group Theory

33 pages, 7 figures

Scientific paper

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.

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