Quasiconformal groups with small dilatation I

Petra Bonfert-Taylor, Gaven Martin
2000 Proceedings of the American Mathematical Society  
We study Fuchsian quasiconformal groups with small dilatation. For this class of groups we establish a Jørgensen-type inequality in all dimensions. We show discreteness persists to the limit under algebraic convergence and that such groups are discrete if and only if every two generator subgroup is discrete.
doi:10.1090/s0002-9939-00-05765-8 fatcat:rga6bqyv65f3lfsztqlaadkhee