Abstract
This chapter is an exploration of geometrically finite discrete subgroups of M; that is, groups that have (convex) fundamental polyhedra in ℍ3 with finitely many sides. One of our main objectives is to give a criterion for a group to be geometrically finite in terms of its action at the limit set; this criterion will then be used in Chapter VII to show that, under suitable conditions, the combination of two geometrically finite groups is again geometrically finite.
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© 1988 Springer-Verlag Berlin Heidelberg
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Maskit, B. (1988). Geometrically Finite Groups. In: Kleinian Groups. Grundlehren der mathematischen Wissenschaften, vol 287. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61590-0_6
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DOI: https://doi.org/10.1007/978-3-642-61590-0_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64878-6
Online ISBN: 978-3-642-61590-0
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