Wolfram Mathematica Documentation Center
DOCUMENTATION CENTER SEARCH
New to Mathematica? Find your learning path »
Mathematica > Mathematics and Algorithms > Discrete Mathematics > Group Theory > Named Groups > DihedralGroup >
BUILT-IN MATHEMATICA SYMBOLTutorials »|See Also »|More About »

DihedralGroup

DihedralGroup[n]
represents the dihedral group of order .
MORE INFORMATION
  • For n≥3, DihedralGroup[n] is represented by default as a permutation group on the points .
EXAMPLESCLOSE ALL
Basic Examples   (3)
Number of elements of a dihedral group:
Permutation generators of a dihedral group:
Elements of a permutation representation of a dihedral group:
Number of elements of a dihedral group:
In[1]:=
Click for copyable input
Out[1]=
 
Permutation generators of a dihedral group:
In[1]:=
Click for copyable input
Out[1]=
 
Elements of a permutation representation of a dihedral group:
In[1]:=
Click for copyable input
Out[1]=
Scope   (1)
DihedralGroup[n] for any positive integer n:
Properties & Relations   (1)
DihedralGroup and DihedralGroup are the only dihedral commutative groups:
Possible Issues   (1)
DihedralGroup and DihedralGroup are special as permutation groups because they are not subgroups of SymmetricGroup and SymmetricGroup, respectively. Their permutation representations require larger supports:
New in 8
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team
Format:   HTML  |  CDF