Titlebook: Kleinian Groups; Bernard Maskit Book 1988 Springer-Verlag Berlin Heidelberg 1988 Area.Dimension.Finite.Group theory.Invariant.Riemann surf

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on the intimacies and intricacies of relations within the domestic sphere. Respondent narratives highlight the intercon-nectedness of the self with ‘other’ as well as with wider socio-cultural and structural norms and values. When articulating one’s identity it is difficult to avoid ‘common vocabul

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Discontinuous Groups in the Plane,formations acting on the extended complex plane. We discuss some inequalities, including Jørgensen’s inequality, the limit set, and fundamental domains, in particular, the Ford region. The point of view here is primarily one complex dimensional; real higher dimensional discontinuous groups will be discussed in Chapter IV.

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Geometrically Finite Groups,nitely 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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Fractional Linear Transformations,In this chapter we review the basic properties of fractional linear transformations. For the convenience of the reader, we start from scratch and derive the properties we need. The point of view here is strictly one complex dimensional; isometries of hyperbolic spaces will be developed in Chapter IV.

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Covering Spaces,This chapter is primarily a review of standard covering space theory, including some easy, but not so will known facts about regular coverings. There is also a discussion of branched regular coverings, in dimension two, and a proof of the branched universal covering surface theorem.

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The Geometric Basic Groups,The geometric basic groups are those Kleinian groups which are also discrete groups of isometries in one of the 2-dimensional geometries discussed in the last chapter. That is, a geometric basic group is a (conjugate of a) discrete group of isometries of ., ., or ℍ.

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