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Cover image for book Punctured Torus Groups and 2-Bridge Knot Groups (I)

Punctured Torus Groups and 2-Bridge Knot Groups (I)

By:Hirotaka Akiyoshi; Makoto Sakuma; Masaaki Wada; Yasushi Yamashita
Publisher:Springer Nature
Print ISBN:9783540718062
eText ISBN:9783540718079
Edition:0
Copyright:2007
Format:Page Fidelity

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Here is the first part of a work that provides a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization. It offers an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups.