The nest subgroups of Kleinian groups

Author:
Takehiko Sasaki

Journal:
Trans. Amer. Math. Soc. **278** (1983), 389-399

MSC:
Primary 30F40

DOI:
https://doi.org/10.1090/S0002-9947-1983-0697083-5

MathSciNet review:
697083

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Abstract: The residual limit points of finitely generated Kleinian groups are classified into two types: the first kind and the second kind. To each point of the second kind, Abikoff associated a web subgroup. We shall classify the points of the first kind into two types and associate to each point of one type a finitely generated subgroup, the nest subgroup. To the points of the other type we shall give a significance showing that they are important for the sets of generators.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1983-0697083-5

Keywords:
Kleinian groups,
web groups,
nest groups,
residual limit sets

Article copyright:
© Copyright 1983
American Mathematical Society