Embedding theorems for countable groups and relative hyperbolicity
by
Denis Osin
The City College of the City University of New York

I will give a brief and elementary survey of the small cancellation theory over relatively hyperbolic groups and discuss some applications. In particular, we will establish a uniform approach to proving embedding theorems for countable groups. Our method allows to obtain many new results as well as to reprove some well-known theorems originally proved by Alexander Olshanskii and his students.

Date received: February 22, 2006