## The Euler characteristic and inequalities for Kleinian groups

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- by William Abikoff PDF
- Proc. Amer. Math. Soc.
**97**(1986), 593-601 Request permission

## Abstract:

A class of torsion-free finitely generated Kleinian groups is defined. For groups $G$ in this class, sharp versions—with error terms—of standard inequalities are given. Also, sharp estimates are given for the number of cusps and the sum of the ranks of maximal nonconjugate cyclic parabolic subgroups.## References

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## Additional Information

- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**97**(1986), 593-601 - MSC: Primary 30F40; Secondary 57N10
- DOI: https://doi.org/10.1090/S0002-9939-1986-0845971-7
- MathSciNet review: 845971