A wild Cantor set as the limit set of a conformal group action on 𝑆³

Bestvina, M.; Cooper, D.

doi:10.1090/S0002-9939-1987-0877028-4

A wild Cantor set as the limit set of a conformal group action on $S\sp 3$

Authors: M. Bestvina and D. Cooper
Journal: Proc. Amer. Math. Soc. 99 (1987), 623-626
MSC: Primary 57M30; Secondary 20H10, 30C35, 57S25
DOI: https://doi.org/10.1090/S0002-9939-1987-0877028-4
MathSciNet review: 877028
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Abstract: We construct a conformal action of a free group of finite rank on ${S^3}$ whose set of discontinuity $\Lambda$ is a wild Cantor set.

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