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Coxeter Groups

  • L. C. Grove
  • C. T. Benson
Part of the Graduate Texts in Mathematics book series (GTM, volume 99)

Abstract

As we saw in Chapter 2, the description of all finite subgroups of O(R 3) is rather involved. The enumeration of finite subgroups of O(V) becomes considerably more involved when V has dimension greater than 3. When n = 4 the subgroups are discussed in [2]; complete listings are known for only a few small values of n. Thus we limit our discussion at this point to the primary subject of the book—the important class of finite subgroups of O(V)that are generated by reflections.

Keywords

Root System Coxeter Group Dual Basis Dihedral Group Finite Subgroup 
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 1985

Authors and Affiliations

  • L. C. Grove
    • 1
  • C. T. Benson
    • 1
  1. 1.Department of MathematicsUniversity of ArizonaTucsonUSA

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