Mathematica > Mathematics and Algorithms > Discrete Mathematics > Group Theory > Named Groups > DihedralGroup
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DihedralGroup

DihedralGroup[n]
represents the dihedral group of order .

DetailsDetails

  • The degree n of DihedralGroup[n] must be a positive integer.
  • DihedralGroup[1] is isomorphic to CyclicGroup[2] and represented by default as a permutation group on the points .
  • DihedralGroup[2] is isomorphic to AbelianGroup[{2, 2}] and represented by default as a permutation group on the points .
  • For n≥3, DihedralGroup[n] is represented by default as a permutation group on the points .

ExamplesExamplesopen allclose all

Basic Examples (3)Basic Examples (3)

Number of elements of a dihedral group:

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Permutation generators of a dihedral group:

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Elements of a permutation representation of a dihedral group:

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Scope (1)Scope (1)

Properties & Relations (1)Properties & Relations (1)

Possible Issues (1)Possible Issues (1)

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