Small cancellations over relatively hyperbolic groups and embedding theorems
Small cancellations over relatively hyperbolic groups and embedding theorems
We generalize the small cancellation theory over ordinary hyperbolic groups to relatively hyperbolic settings.This generalization is then used to prove various embedding theorems for countable groups.For instance, we show that any countable torsion free group can be embedded into a finitely generated group with exactly two conjugacy classes.In particular, this …