Abstract
In this chapter, we study classical discrete groups of isometries of S n, E n, and H n. We begin with the theory of discrete reflection groups. In Section 7.4, we study the theory of crystallographic groups. The chapter ends with a proof of Selberg’s lemma.
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© 1994 Springer Science+Business Media New York
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Ratcliffe, J.G. (1994). Classical Discrete Groups. In: Foundations of Hyperbolic Manifolds. Graduate Texts in Mathematics, vol 149. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4013-4_7
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DOI: https://doi.org/10.1007/978-1-4757-4013-4_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94348-0
Online ISBN: 978-1-4757-4013-4
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