Equations and fully residually free groups
Group Theory
2009-04-30 v1 Logic
Abstract
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.
Cite
@article{arxiv.0904.4482,
title = {Equations and fully residually free groups},
author = {Olga Kharlampovich and Alexei Myasnikov},
journal= {arXiv preprint arXiv:0904.4482},
year = {2009}
}
Comments
33 pages, 7 figures