|
|
|---|
In this talk I am going to discuss fully residually free (limit) groups. These groups appear naturally in geometry, algebra, and logic, though under different names. In particular, they act freely on Z^n -trees. I will describe some important techniques that we used to work with these groups, in particular, the so-called elimination processes. It seems they can provide an adequate tool to attack some open problems concerning with the algebraic structure of finitely generated groups acting freely on Lambda-trees. The work is based on joint results with A. Myasnikov and D. Serbin.
The New York Group Theory Seminar and some of the associated conferences are supported by funds from the National Science Foundation, Dean of Science, Maria Tamargo and Dean of Engineering, Joe Barba.