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Classical Discrete Groups

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

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.

Keywords

Dihedral Angle Integral Domain Coxeter Group Finite Index Valuation Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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