Here is the 1st a part of a piece that offers a whole account of Jorgensen's idea of punctured torus Kleinian teams and its generalization. It bargains an easy and self-contained description of Jorgensen's conception with an entire facts. via a variety of informative illustrations, readers are evidently ended in an intuitive, man made clutch of the idea, which clarifies how an easy fuchsian staff evolves into complex Kleinian groups.
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