Quasiconformal groups with small dilatation I

Bonfert-Taylor, Petra; Martin, Gaven

doi:10.1090/S0002-9939-00-05765-8

Quasiconformal groups with small dilatation I
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by Petra Bonfert-Taylor and Gaven Martin PDF

Proc. Amer. Math. Soc. 129 (2001), 2019-2029 Request permission

Abstract:

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.

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