The Euler characteristic and inequalities for Kleinian groups

Abikoff, William

doi:10.1090/S0002-9939-1986-0845971-7

The Euler characteristic and inequalities for Kleinian groups
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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.

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