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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Conical limit points and groups of divergence type

Author: Sungbok Hong
Journal: Trans. Amer. Math. Soc. 346 (1994), 341-357
MSC: Primary 22E40; Secondary 20H10
MathSciNet review: 1273535
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Abstract: We use the Patterson-Sullivan measure to generalize Agard's theorem to all groups of divergence type. As a consequence, we prove that for a nonelementary group $ \Gamma $ of divergence type, the conical limit set has positive Patterson-Sullivan measure.

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Additional Information

PII: S 0002-9947(1994)1273535-1
Keywords: Nonelementary group, group of divergence type Patterson-Sullivan measure, conical limit point
Article copyright: © Copyright 1994 American Mathematical Society

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