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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Geometric finiteness of certain Kleinian groups
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by G. P. Scott and G. A. Swarup PDF
Proc. Amer. Math. Soc. 109 (1990), 765-768 Request permission

Abstract:

If $G$ is a discrete subgroup of $\operatorname {PSL} \left ( {2;{\mathbf {C}}} \right )$ representing a fibred $3$-manifold and $H$ the subgroup of $G$ corresponding to the fibre, we show that any finitely generated subgroup of infinite index in $H$ is geometrically finite.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 109 (1990), 765-768
  • MSC: Primary 57M05; Secondary 57N10
  • DOI: https://doi.org/10.1090/S0002-9939-1990-1013981-6
  • MathSciNet review: 1013981