Classical Discrete Groups

  • John G. Ratcliffe
Part of the Graduate Texts in Mathematics book series (GTM, volume 149)


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.


Dihedral Angle Integral Domain Coxeter Group Finite Index Valuation Ring 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • John G. Ratcliffe
    • 1
  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA

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