Dihedral Groups

  • M. A. Armstrong
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Think back to the flat hexagonal plate mentioned earlier. Its twelve rotational symmetries combine in the natural way to form a group. For each positive integer n greater than or equal to three we can manufacture a plate which has n equal sides. In this way we produce a family of symmetry groups which are not commutative, the so-called dihedral groups.

Keywords

Symmetry Group Rotational Symmetry Finite Order Dihedral Group Multiplication Table 
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 1988

Authors and Affiliations

  • M. A. Armstrong
    • 1
  1. 1.Department of Mathematical SciencesUniversity of DurhamDurhamEngland

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