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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

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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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