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Reflection groups and Coxeter systems

  • Richard Kane
  • Jonathan Borwein
  • Peter Borwein
Part of the CMS Books in Mathematics book series (CMSBM)

Abstract

In this chapter, we shall explain how the algebraic structure of finite Euclidean reflection groups can be captured in the concept of a Coxeter system. In the next two chapters, we use this algebraic structure to classify finite reflection groups.

Keywords

Automorphism Group Algebraic Structure Isomorphism Class Coxeter Group Dihedral Group 
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 2001

Authors and Affiliations

  • Richard Kane
    • 1
  • Jonathan Borwein
    • 2
  • Peter Borwein
    • 2
  1. 1.Department of MathematicsUniversity of Western OntarioLondonCanada
  2. 2.Centre for Experimental and Constructive Mathematics, Department of Mathematics and StatisticsSimon Fraser UniversityBurnabyCanada

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