Abstract
As our goal is to study the geometry of the hyperbolic plane by considering quantities invariant under the action of a reasonable group of transformations, we spend this chapter by describing such a reasonable group of transformations of ℂ̅, namely the general Möbius group Möb, which consists of compositions of Möbius transformations and reflections. We close the chapter by restricting our attention to the transformations in Möb preserving ℍ.
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© 1999 Springer-Verlag London
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Anderson, J.W. (1999). The General Möbius Group. In: Hyperbolic Geometry. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-3987-4_2
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DOI: https://doi.org/10.1007/978-1-4471-3987-4_2
Publisher Name: Springer, London
Print ISBN: 978-1-85233-156-6
Online ISBN: 978-1-4471-3987-4
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